Tap for more steps Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. The right rope hangs from the right wall at an angle of 75 degrees from the wall. M. The exact value of is . Salah satu fungsi trigonometri yang penting adalah fungsi sinus (sin). To convert degrees to radians, multiply by π 180° π 180 °, since a full circle is 360° 360 ° or 2π 2 π radians. 3. Trigonometry. SINE TABLE : sin(0)=0. sin(30)cos(45)+cos(30)sin(45) sin ( 30) cos ( 45 Now the sum formula for the sine of two angles can be found: sin(α + β) = 12 13 × 4 5 +(− 5 13) × 3 5 or 48 65 − 15 65 sin(α + β) = 33 65 sin ( α + β) = 12 13 × 4 5 + ( − 5 13) × 3 5 or 48 65 − 15 65 sin ( α + β) = 33 65. The SSC CGL Eligibility is a bachelor's degree in the concerned discipline.. Find the Exact Value sin (15 degrees ) sin(15°) sin ( 15 °) Split 15 15 into two angles where the values of the six trigonometric functions are known. Q 5.2 Systems of Linear Equations: Three Variables; 9.cos30 sin(75) + sin(15) Simplify each term. (3) and (4) we get, 2 sin 15° = √(1 + ½) – √(1 – ½) 2 sin 15° = (√3−1)/√2.1. Sederhanakan suku-suku. sin(75°) = (√(3)+1) / (2√2) And, cos(75°) = cos(45° + 30°) We also have a compound angle formula for cosine function, Thus, sin(15°) = 0. 아래는 삼각형의 덧셈정리 Click here👆to get an answer to your question ️ the value of sin 15circ is Kesimpulan. =sin (45°-30°). We will begin with the sum and difference formulas for cosine, so that we can find the cosine of a given angle if we can break it up into the sum or difference of two of the special angles.2588 + 0. Sudut A dan sudut B Nilai dari sin 255 adalah . Nilai eksak dari adalah . . Sum formula for cosine. Trigonometri adalah cabang matematika yang mempelajari hubungan antara sudut dan panjang sisi segitiga. Jawaban terverifikasi.22474487… The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). Tap for more steps Step 1. View More. Sports - 01. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. Follow answered Jun 16, 2021 at 13:46.9659) of unit circle and r. It is important that topic is mastered before continuing Read More. 또한 위처럼 15도, 75도 등을 구하려면 삼각함수의 덧셈정리를 쓰면 됩니다. Jika diketahui x+y=270 maka . The exact value of is . \sin 8 x \cos 7 x-\cos 8 x \sin 7 x sin8xcos7x−cos8xsin7x. Differentiation.000000 sin(15)=0. . Pass; Skill Academy; Free Live Classes; Free Live Tests & Quizzes; Previous Year Papers; Doubts; Evaluate the Following Determinant: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin 75 ∘ Cos 75 ∘ ∣ ∣ ∣ . Step by step video & image solution for What is value of expression 2(sin15^(@)+sin75^(@))^(2)? by Physics experts to help you in doubts & scoring excellent marks in Class 12 exams. Find the Exact Value sin(75)cos(15) Step 1. Step 5. Ketuk untuk lebih banyak langkah √6 2. Answer: Using the values of $\sin 75$ and $\cos 75$ we can compute the value of the product $\sin 75 \cos 75. What is trigonometry used for? Trigonometry is used in a variety of fields and … In this comprehensive trigonometry tutorial, we delve into the world of compound angles and demonstrate how to calculate the values of sin (75) and sin (15) … sin45 = sin90 2 = √1 − cos90 2 = √1 2 = √2 2. As, sin 45 ∘ = 1 2, cos 30 ∘ = 3 2 Terdapat soal sebagai berikut nilai dari sin 75 derajat + sin 15 derajat adalah untuk menyelesaikan soal tersebut kita gunakan konsep penjumlahan trigonometri yaitu jika ada sin a + sin b.25881. Cancel the common factor of 1 sin 15° cos 75° + cos 15 ° sin 75 ° =sin(15°+75°)=sin(90)=1.5. ⇒ t = √(3/2) Download PDF. Start with the definition of cotangent as the inverse b. The value of the expression $2{{\left( \sin 15+\sin 75 \right)}^{2}}$ is 3. Solution: Using trigonometric identities, we know, sin(15°) = cos(90° - 15°) = cos 75°. Textbook Solutions 24549. Nah untuk yang seperti ini itu ada komosta Sendirinya lagi sin a ditambah B = Sin a * cos B + cos a * sin B pertama-tama kita cari Sin 5 + 35 dulu karena telah kita dapat sin75 ini baru kita bisa masukkan ke sini karena untuk sudah sampai 5 derajat Jika ini kita pecah lagi dia itu jadi 3 jadi 45 + 90 Tapi ngomongnya itu hanya seperti ini maka Get the Free Answr app.cosB+sinB. Question Papers 1978.414.sinB and, sin (A - B) = sinA. Similar Questions.650288 sin(30)=-0. Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths. cos 15° = sin 75° =. Mahasiswa/Alumni Institut Teknologi Sepuluh Nopember Surabaya. Diketahui cos A=5/3 dan cos B=13/12. #sin(A-B)=sinAcosB-cosAsinB# We might notice that #75-60=15# so #sin15^@=sin(75^@-60^@)=sin75^@cos60^@-cos75^@sin60^@#.nigoL ppa esU . sin A + sin B = 2sin{(A+B)/2}cos {(A-B)/2} so, 2(sin 15º+sin 75°) = 2×2 sin {(15+75)/2}cos {(15-75)/2} =4sin {90/2}cos {(-60/2)} =4sin 45° cos (-30°) we know. CBSE Science (English Medium) Class 12.707. Step 5.2.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, MP Board, Telangana Board etc Sin and Cos of 3°, 21°, 33°, 39°, 51°, 57°, 69°, and 87° each have two answers. Tap for more steps Combine fractions. If we can find (think of) two angles #A# and #B# whose sum or whose difference is 15, and whose sine and cosine we know. A concise two-deep answer would be preferred, and other simplifications are also welcomed. Prove the identity. . In this video, we solve another math challenge problem: sin 75 + sin 15. We know by formulas that sin(A+B) = sinA. Expert-verified. $$ Then I got $$ (\sqrt{3}-2) \sin(15^°) = \cos(15^°). Concept Notes & Videos 386 Syllabus. Share. Step 6. Step 3. View Solution. Figure 2 The Unit Circle. Use a sum or difference identity to find an exact value of cot(5π 12). Click a picture with our app and get instant verified solutions. sin195∘ = sin(45∘ +150∘) = sin45∘cos150∘ + cos45∘sin150∘ $\cos 105° + \sin 75°= \cos 105° +\cos 15°= \cos(60+45)+\cos (60-45)$ Check from the above given formulas, and you should get the same answer. 15 +180 will work, if you know sin15. Recall that there are multiple angles that add or The value of Δ = ∣∣ ∣cos15∘ sin15∘ sin75∘ cos75∘∣∣ ∣ is[2 marks] View Solution.9 . Evaluate: cos 15 ° sin 15 ° sin 75 ° cos 75 ° Q. Since cosine function is positive in the first quadrant, thus cos 15° value = (√6 + √2)/4 or 0.2588 (approx) sin 15° sin 75° = sin 75° sin 15° = sin (90° - 15°). MCQ Online Mock Tests 43. Tap for more steps √2 + √6 4 ⋅ √6 + √2 4 Multiply √2 + √6 4 ⋅ √6 + √2 4. ⇒ sin75∘ sin15 Maths Math Article Value Of Sin 15 Value of sin 15 Value of sine 15 degrees can be evaluated easily. The exact value of is . In this solution the following will be strictly adhered to: 1. the SSG has released the revised result for the exam held on the 26th and 27th of October 2023. Our results of sin15° have been rounded to five decimal places. 1/2. Download Solution PDF. Tap for more steps 1 1 Answer (Detailed Solution Below) Option 3 : √ (3/2) Free Tests View all Free tests > Free SSC CGL: Full Mock Test 4. I got 2 * (sin 15 + sin 75) 2 . I don't know how to combine trigonometric ratios to equivalencies.).H. Find the answer sec 2 10 − cot 2 80 + sin 15.3.866025 sin(75)=0. If we divide the numerator of the value of sin 15 in fractional form with its denominator we will get a decimal number. Tonton video. Step-by-step explanation: Given : Sin^2 15° + sin^2 30° + sin^2 45° +sin^2 60° +sin^2 75° To Find : The value of Sin^2 15° + sin^2 30° + sin^2 45° +sin^2 60° +sin^2 75° Solution : We know that, sin²a + sin²b = 1, where a + b = 90°. 참고로 sinx = cos(90-x)입니다. 입니다. sin 75° = cos (15° + 75° ) = cos 90° = 0 [since cos (A + B) = cos A. 17 mar 13:12.9659 (approx) To find the value of sin 15 degrees using the unit circle: Rotate 'r' anticlockwise to form a 15° angle with the positive x-axis. These ratios help us in finding angles and lengths of sides of a right triangle. We know that √3 = 1.5 D.1 Systems of Linear Equations: Two Variables; 9. The exact value of is . The value will be expressed as requested; i. Question.Find the value of sin75 ° + sin15 ° Solution: sin (75) + sin (15) = sin (45 + 30) + sin (45 - 30) We know that, sin (A + B) = sinA. 2) Rewriting sin75. So by applying the above formula we get, sin 75 ∘ = sin 45 ∘ cos 30 ∘ + cos 45 ∘ sin 30 ∘. 8 C. Concept Notes & Videos 720. Tap for more steps Step 1. You can obtain the values from a table and then work out the arithmetic. Step 5. Write the expression as a single trigonometric function. SSC CGL Result Out on 6th December 2023. sin75-cos75=sin75-sin15=2cos (75+15)/2sin (75-15)/2=2cos45sin30=√2/2. sin(75)cos(15) + cos(75)sin(15) Sederhanakan setiap suku.2 √3 + 1/2 √2 . Dalam trigonometri, sin 75 dan sin 15 adalah nilai sinus dari sudut 75 derajat dan 15 derajat..9 ;seitilauqenI dna snoitauqE fo smetsyS ot noitcudortnI . Terdapat soal sebagai berikut nilai dari sin 75 derajat + sin 15 derajat adalah untuk menyelesaikan soal tersebut kita gunakan konsep penjumlahan trigonometri yaitu jika ada sin a + sin b. The sin of 75 degrees equals the y-coordinate (0.1. oblicz sin75°. Step 1. Domain and Range of Trigonometric Ratios. Cite. sin(30+45) sin ( 30 + 45) Apply the sum of angles identity. Apply the difference of angles identity. Click a picture with our app and get instant verified solutions. Click here:point_up_2:to get an answer to your question :writing_hand:find the value of sin 75 circ. The exact value of is . Dengan menggantikan nilai sin 75 = (√6 + √2) / 4 dan sin 15 = (√6 – √2) / 4 … Transcript. sin 15° Multiply and divide by 2, we get = \(\dfrac 12\) 2. Get Started. sin 15° = cos 15°. . $$ Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to … Sin 15 degrees is the value of sine trigonometric function for an angle equal to 15 degrees. $$ Then I got $$ (\sqrt{3}-2) \sin(15^°) = \cos(15^°). Sin 15 degrees can also be expressed using the equivalent of the given angle (15 degrees) in radians (0. sin 15°. . Serial order wise. The sin of 15 degrees equals the y-coordinate (0. sin(30)cos(45)+cos(30)sin(45) sin ( 30) cos ( 45) + cos ( 30) sin ( 45) The exact value of sin(30) sin ( 30) is 1 2 1 2. 3. Ketuk untuk lebih banyak langkah √2 + √6 4 + √6 - √2 4. Step 6. Iklan.16. Tentukan Nilai yang Tepat sin(15 derajat ) Step 1.224744871 Quiz Trigonometry sin(75)+sin(15) Share Copy Examples Quadratic equation x2 − 4x − 5 = 0 Trigonometry 4sinθcosθ = 2sinθ Linear equation y = 3x + 4 Arithmetic 699 ∗533 Matrix To find the value of sin 75 degrees using the unit circle: Rotate 'r' anticlockwise to form a 75° angle with the positive x-axis. dxd (x − 5)(3x2 − 2) Integration.cosA 2(sin 15+ sin 75)^2 . … The value of sin^2 5° + sin^2 10° + sin^2 15° + … + sin^2 85° + sin^2 90° is A. … Simultaneous equation. Recall that formula: sin(x + y) = sinxcosy +cosxsiny. cos (-x)=cos x. can be obtained using. 0. Time Tables 20. So, sin 15° – cos 15° < 0. sin(30+45) sin ( 30 + 45) Apply the sum of angles identity. Maka rumusnya ialah 2 Sin setengah a + b dikali cos setengah A min b tersebut kita aplikasikan konsep tersebut kesal tadi pertama tulis dulu Sin 75 derajat Calculati sin 15° + sin 75° - 4066098. Ask Unlimited Doubts; Video Solutions in multiple languages (including Hindi) Video Lectures by Experts; Free PDFs (Previous Year Papers, Book Solutions, and many more) Attend Special Counselling Seminars for IIT-JEE, NEET and Board Exams; Login +91. View Solution. x→−3lim x2 + 2x − 3x2 − 9.3. ⇒ sin 2 15° + cos 2 15° + 2sin 15°.cosB – cosA. Given trigonometric ratio: sin 75 ∘. … sin 2θ = 2 sin θ cos θ .9659 (approx). Chapter 3 Class 11 Trigonometric Functions. trigonometry. Tonton video. Step 4. 也可以 Answer: sin^2 15° + sin^2 30° + sin^2 45° +sin^2 60° +sin^2 75° = 2. The value of sin^2 5° + sin^2 10° + sin^2 15° + … + sin^2 85° + sin^2 90° is A. Exams SuperCoaching Test Series Skill Academy. Tap for more steps √2 + √6 4 cos(15) The exact value of cos(15) is √6 + √2 4. . trigonometry. Example 3 Find , and , if , and and are the first quadrant angles.3 Systems of Nonlinear Equations and Inequalities: Two Variables; 9.9659) 2 This video works to determine the exact value for the sine of 15 degrees in two different ways: using the difference formula for sine and using the half-angl The values of the given problems are: sin(75°) + sin(15°) ≈ 1. Rewrite given expression as a sum or difference, then simplify if possible. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. 1 + 2 tan2 θ + 2 sin θ sec2 θ, 0° θ 90°, is equal to. The Tier-1 Examination was conducted from 14th July 2023 to 27th July 2023. cos 15° .1. 17 mar 12:14. Now, let A = 30 ° then, A 2 = 30 ° 2 = 15 ° and from the above equation we get, sin 15 ∘ + cos 15 ∘ = ± 1 + sin 30 ∘ Similarly, for all values of the angle A , sin A 2 - cos A 2 2 = sin 2 A 2 + cos 2 A 2 - 2 sin A 2 cos A 2 = 1 - sin ( 2 × A 2 ) [ ∵ sin 2 θ + cos 2 θ = 1 a n d sin 2 θ = 2 sin θ c o s θ ] = 1 - sin A Write the given expression as a single trigonometric function. The whole trigonometric functions and formulas are designed based on three primary ratios. or, sin 15° – cos 15° = – √2/2. Example 3: Find the value of 5 sin(15°)/7 cos(75°).3, 5 Find the value of: sin 75° sin 75° = sin (45° + 30°) = sin 45° cos 30° + cos 45° sin 30° = 𝟏/√𝟐 × √𝟑/𝟐 + 𝟏/√𝟐 × 𝟏/𝟐 = 1/√2 (√3/2 " + " 1/2) = (√𝟑 + 𝟏)/ (𝟐√𝟐) Next: Ex 3. 7 B.

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850904 sin(60)=-0. sin75 = sin(45 + 30) = … Split 75 75 into two angles where the values of the six trigonometric functions are known. cos 15°. Now write it in the reverse direction: Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-step The value of sin 15° will be positive because 15° lies in the first quadrant.000000 sin(15)=0. 8 C. . One is longer, but the Sqrt's are nested only two deep; one is more concise but the Sqrt's are three deep. Tap for more steps √2 + √6 4 + √6 - √2 4 Simplify terms. sin(60−45) sin ( 60 - 45) Use the difference formula for sine to simplify the expression. 421 2 2 silver badges 14 14 bronze badges Trigonometry Examples. The value of cos15∘ +sin15∘ cos15∘ −sin15∘ is. Những bài toán phổ biến. Find the exact value of the expression. ⇒ sin(15°) = cos(75°) sin 15° = cos 75° =. Question: 3. As we know that, sin x cos y + cos x sin y = sin (x + y) ∴ sin 75° cos 15° + cos 75° sin 15° = sin (75° + 15°) = sin 90°. Understand methods to find the value of sin 15 degrees with examples and FAQs. The exact value of is . Add and . 아래는 삼각형의 덧셈정리 입니다. Question: Find the value of sin 75 cos 75. Solve your math problems … cos(90° - 75°) = cos 15°-cos(90° + 75°) = -cos 165° Sin 75 Degrees Using Unit Circle. In this case, 15 15 can be split into 60 −45 60 - 45. Split into two angles where the values of the six trigonometric functions are known. 또한 위처럼 15도, 75도 등을 구하려면 삼각함수의 덧셈정리를 쓰면 됩니다. Start Test. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. =sin45°cos30°-cos45°sin30°. Find the EXACT value of sin(15°) using a sum or difference formula. Step 1.387782 sin(90)=0. Click here:point_up_2:to get an answer to your question :writing_hand:evaluate the following determinants beginvmatrix cos15circ sin15circ sin75circ.. The left rope hangs from the left wall at 50 degrees from the wall. In this post, we will learn how can we find value of sin 15, sin 75, cos 15, cos 75, tan 15, tan 75, cot 15, cot 75, sec 15, sec 75, cosec 15 and cosec 75 degrees. = 1. Split into two angles where the values of the six trigonometric functions are known. Click here:point_up_2:to get an answer to your question :writing_hand:12 what is value of expression 2 left sin 15 circ. 1 2cos(45)+cos(30)sin(45) 1 2 cos ( 45) + cos ( 30) sin ( 45) The exact Find the value of given trigonometric ratio. Dalam trigonometri, sin 75 dan sin 15 adalah nilai sinus dari sudut 75 derajat dan 15 derajat. We would like to show you a description here but the site won't allow us. The exact value of is . the SSG has released the revised result for the exam held on the 26th and 27th of October 2023. Step 6. 20 Ques.1. Bagi menjadi dua sudut di mana nilai dari enam fungsi trigonometrinya diketahui.Previous video in this series: video in this series: Once you know the general form of the sum and difference identities then you will recognize this as cosine of a difference. sin(30+45) sin ( 30 + 45) Áp dụng công thức tổng của góc. sin(45−30) sin ( 45 - 30) Separate negation. Step 2. = 1/4 ( √6 + √2 ) Demikianlah contoh-contoh soal trigonometri dan pembahasannya.258819045. Textbook Solutions 13653.cos 15° = t 2. Split into two angles where … The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 이야기죠. Mathematics. 아래는 삼각형의 덧셈정리 Click here👆to get an answer to your question ️ the value of sin 15circ is Kesimpulan. Tentukan nilai dari 2sin 75cos 15. Ekspresi sin 2x cos 2x ekuivalen dengan ekspresi . 7 B. If sin (A + B) = sin A cos B + cos A sin B and cos (A - B) = cos A cos B + sin A sin B, find the values of (i) sin 75∘ and (ii) cos 15∘.2k points) trigonometric functions View Solution. We know by formulas that sin(A+B) = sinA. We will substitute the values of √3 and √2 in the above fraction. 01:58. I don't know how to combine trigonometric ratios to equivalencies. sin (75°) cos (159) + cos (75°) sin (15°) sin (75°) cos (15°) + cos (75°) sin (15°) = | (Type an exact answer, using radicals as needed. sin 75° + sin Explanation: For cos 15 degrees, the angle 15° lies between 0° and 90° (First Quadrant ). Step 7. Parentheses will be used to create non-ambiguous expressions. sin 75° + sin 15° = 2 cos 45° sin 30° OF.1 = θ2nat−θ2ces 1=ateht\ 2^ nat\-ateht\ 2^ ces\ . T 1,T 2, and T 3 are the (positive) magnitudes of the tension force in each string. ⇒ sin(75) + sin(15) = … Find the Exact Value sin(75)+sin(15) Step 1.sinB ⇒ sin (75) + sin (15) = (sin45. sin 75 cos 75 . Combine fractions. But in that case the multiple angle formula gives us the $\sin \left( 75\times 2 \right)=\sin 150$ instead of $\sin 30=\dfrac{1}{2}$. Now, sin75∘ sin15∘ = sin75∘ cos(90∘ −15∘) = sin75∘ cos75∘, = tan75∘ = tan(45∘ + 30∘), = tan45∘ +tan30∘ 1 − tan45∘tan30∘, = 1 + 1 √3 1 − 1 √3. Replace A by 15° and B by 75°. I got 2 * (sin 15 + sin 75) 2 . Apply the difference of angles identity.2. Nyatakan sebagai jumlah atau selisih kosinus, dan sederha As we know, ⇒ cos (A - B) = cos A cos B + sin A sin B ⇒ sin 15° sin 75° + cos 75° cos 15° ⇒ cos 75° cos 15° + sin 15&d. Subham Karmakar Subham Karmakar.cosB + cosA. Untuk menghitung nilai sin 75 sin 15, kita perlu memahami terlebih dahulu tentang trigonometri dan bagaimana sinus dapat dihitung. Step 1.0=)54(nis 000005. Note: Since, cosine is an even function, the value of cos (-15°) = cos (15°). 1、sin15°. Evaluate the Following Determinant: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin SSC CGL Result Out on 6th December 2023. sin(30)cos(45)+cos(30)sin(45) sin ( 30) cos ( 45) + cos ( 30) sin ( 45) The exact value of sin(30) sin ( 30) is 1 2 1 2.9659) of the point of intersection (0. This year, SSC completely changed the exam pattern. Step 4. 2 * (0. Click here:point_up_2:to get an answer to your question :writing_hand:find the answer sec 2 10 cot 2 80cfrac sin 15 cos. In this post, we will learn how can we find value of sin 15, sin 75, cos 15, cos 75, tan 15, tan 75, cot 15, cot 75, sec 15, sec 75, cosec 15 and cosec 75 degrees. Given: Expression = sin75° + cos15° Concepts used: sin (A + B) = sinA cosB + cosA sinB Calculation: ⇒ sin75° + cos15° = sin75° +. 45 +150 -- I note that 150 is divisible by 30, so I should know the sine and cosine of 150∘.7 Solving Systems with Inverses; 9. Doubtnut is No. a si tu cu transformarea sumei in produsgasesti formula pe neteu n-am invatat-o niciodata si am promovat bine mersinu o sa itidea la BAC asa cevasau faci cu sin (45-30)+sin(45+30) astase face mai usor si dac ar trebuisa o fac far acces la formule , pe calea asta as merge Sin15, Sin75, Cos15, Cos75, Sin18, Sin36, Sin54, Sin72, Cos18, Cos36, Cos54, Cos72 trigonometrik değerleri tablodadır (nedir). The trigonometric identities can be used to represent sin 15° as follows: sin(180° - 15°) = sin 165°-sin(180° + 15°) = -sin 195° cos(90° - 15°) = cos 75°-cos(90° + 15°) = -cos 105° Simplify: sin 15° sin 75° + cos 75° cos 15° - YouTube join our group for asking your maths doubt pls click below link sin 15° sin 75° Trigonometry Simplify sin (75)cos (15)+cos (75)sin (15) sin(75) cos (15) + cos (75)sin (15) sin ( 75) cos ( 15) + cos ( 75) sin ( 15) Simplify each term. Jawaban terverifikasi. 또한 위처럼 15도, 75도 등을 구하려면 삼각함수의 덧셈정리를 쓰면 됩니다. sin 75° + sin 15° = 2 sin 90° sin 60° O B.5 D.cos 15° = t 2 Ahorra: 1,15 € (5 %) Los 21,75 € 21, 75 € Mientras otros cuerpos sin vida y vaciados de sangre aparecen en la ciudad, un equipo de rodaje graba un episodio para una nueva serie documental de Netflix y un senador preocupado por su reelección presiona al FBI para que resuelva la situación lo antes posible. Walkins. To obtain 15 degrees in radian multiply 15° by π / 180° = 1/12 π. sin(45−(30)) sin ( 45 - ( 30)) Apply the difference of angles identity. O A cos 75° cos 15º - sin 75° sin 15º = cos (75° -15°) cos 60° B. sin 15° = cos 15°. Solve. Question: Express the sum as a product. Step 2. 와. 8sin15cos15 b. These ratios are Sine, cosine, and tangent in trigonometry. 3rb+ 1. Tap for more steps Step 1. We have to convert the associative angle using other formulas to simplify it. Shortcuts & Tips. Let u + v 2 = α and u − v 2 = β. sin (90° + x) - sin (90° — 2) = 0. Step 5. Tonton video. Q 4.. Find the exact value of sin15∘ sin 15 ∘. componendo-dividendo on sin75∘ sin15∘. Transcript. Tap for more steps 2 +√3 4 + 2−√3 4 2 + 3 4 + 2 - 3 4 Simplify terms. Step 5. View Solution. Guides. sin 45° = 1/√2. matematykaszkolna.2588) of the point of intersection (0. . Use integers or fractions for any numbers in the expression. MH. Given trigonometric ratio: sin 75 ∘ sin 75 ∘ can be expressed as, sin 75 ∘ = sin ( 45 ∘ + 30 ∘) We know that sin ( A + B) = sin A cos B + cos A sin B So by applying the above formula we get, sin 75 ∘ = sin 45 ∘ cos 30 ∘ + cos 45 ∘ sin 30 ∘ Trigonometry Find the Exact Value sin (75)cos (15) sin(75)cos(15) The exact value of sin(75) is √2 + √6 4.22474487139158904 View solution steps Factor 214⋅51717⋅29⋅137⋅509⋅445318127 = 1 125000000000000002809310892394864 ≈ 1. sin 75° + sin 15° = 2 sin 45° cos 30° OD. cos(75)cos(15) - sin(75)sin(15) Simplify each term. O A. Limits. View Solution. sin B] The sum-to-product formulas allow us to express sums of sine or cosine as products. . 2.2588) of unit circle and r. ⇒ 1 + sin 30° = t 2. Explanation: sin15°cos75° + cos15°sin75° = sin(15° + 75°) = sin(90) = 1 Answer link martin23239 Mar 1, 2018 We have the answer: sin15∘cos75∘ +cos15∘sin75∘ = 1. Jika anda membutuhkan rumus-rumus singkatnya, anda bisa Consider a equilateral triangle bisected: From this we see: #cos 60^@ = "adjacent"/"hypotenuse" = 1/2# #sin 30^@ = "opposite"/"hypotenuse" = 1/2# Find the Exact Value sin(15)cos(15) Step 1. Placement Papers.cosB - cosA. sin 75° + sin 15° = 2 cos 90° sin 60° O c. If possible, find this product's exact value. Stay updated with the Mathematics questions & answers with Testbook. Step 7. În prima lună s-au realizat 21 936 bilete, iar în a doua lună de 3 ori mai puţ … Today's Puzzle. Chapter 3 Class 11 Trigonometric Functions. Prove that cos 105° + cos 15° = sin 75° − sin 15°. To find the value of sin 75 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a … The value of sin 15 degrees in decimal is 0. Q 5.2588 + 0. In a previous post, we learned about trig evaluation. cos (15° + 75°) = cos 15° cos 75° - sin 15° cos 75° ⇒ cos 90° = cos 15° cos 75° - sin 15° cos 75° So, substituting it, we get. Also there can be many ways to find out the values. Method 2: Another method to find the value of sin 15 degrees is join our group for asking your maths doubt pls click below link sin 15° sin 75° + cos 75° cos 15 Find the Exact Value sin(15) Step 1. View Solution. Tentukan nilai dari: a. Tap for more steps 0. Step 5.258819 sin(30)=0. The exact value of is . Sin 15degrees = sin (1/12 × π). sin 75° + sin 15° Choose the correct answer below. Example 11 Find the value of sin 15°. Now we got, from (2) sin 15° – cos 15°= -√(1 – sin 30°) … (4) Adding eq. Step 4. sin 15° = cos 75° =. Step 5. We now find the sine of 36°, by first finding the cos of 36°. ⇒ 1 + 1/2 = t 2. Maths Tricks. Trigonometry .51 nis 57 nis ialiN nabawaJ . ∫ 01 xe−x2dx. The sin of 15 degrees is (√6-√2)/4, the same as sin of 15 degrees in radians. Note: We could also find the sine of 15 degrees using sine (45° − 30°). Value of sin 15 in fraction form = √3 - 1 2√2. The sin of 75 degrees equals the y-coordinate (0. Join / Login.988032 sin(45)=0. Determine the sign using the half angle: Positive (+) if the half angle lies on the 1st or 2nd quadrants; or. Expand Using Sum/Difference Formulas sin (15) sin(15) sin ( 15) First, split the angle into two angles where the values of the six trigonometric functions are known. Tap for more steps 1 4 - 1 4. The exact value of is . Q 5. What is trigonometry used for? Trigonometry is used in a variety of fields and applications, including geometry, calculus, engineering, and physics, to solve problems involving angles, distances, and ratios. Formula used : (i) cos(A + B) = cos A cos B - sin A sin B. cos B - sinA . High School Math Solutions – Trigonometry Calculator, Trig Equations. Simplify each term. cos 15°. Calculation: Given: sin 15° sin 75° = sin 75° sin 15° = sin (90° - 15°). Dalam menghitung 2 sin 75 sin 15, kita mentransformasikan sin 75 dan sin 15 menjadi ekspresi matematika yang lebih sederhana dan akurat. Separate negation. Step 8. Join BYJU'S Learning Program. More. cos 75° - sin 15° . Prove that the given identity is true. (sin75度+cos75度)/ (sin75度-cos75度)=√6/2 / √2/2=√3. sin 15 degrees = (√6-√2)/4. 12 Maret 2022 07:33. Note: we can also convert $\sin 15$ into $\cos 75$.cos30 - cos45. Tap for more steps Multiply √6−√2 4 ⋅ π 180 6 - 2 4 ⋅ π 180. 참고로 sinx = cos (90-x)입니다.1. The exact value of is . Example 4.

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But in that case the multiple angle formula gives us the $\sin \left( 75\times 2 \right)=\sin 150$ instead of $\sin 30=\dfrac{1}{2}$. cos 15° = sin 75° = 입니다. Trigonometry questions and answers. The exact value of is . cos 75 + cos 15 sin 75 cos Using fundamental theorem of determinant, ∣ ∣ ∣ cos 15 o sin 15 o sin 75 o cos 75 o ∣ ∣ ∣ = cos 15 o cos 75 o − sin 15 0 sin 75 o = cos (75 o + 15 o) = cos 90 o = 0, [using sum to product formula] Find: sin 75 deg Answer: sin 75 = +- sqrt(2 + sqrt3)/2 Call sin 75 = sin t --> cos 150 = cos 2t On the trig unit circle, cos (150) = cos (180 - 30) = - cos 30 View Solution. sin 15° = cos 75° = 와 . c o s 15 o. sin 75° + sin 15° = 2 sin 45° sin 30° O E. $$ Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. See Table 1. I want this answer: SINE TABLE : sin(0)=0. The SSC CGL Eligibility is a bachelor’s degree in the concerned discipline. Example 11 Find the value of sin 15°. Herdianira. OR. Here, we have to find the value of cos 75° cos 15° - sin 75° sin 15°. MCQ Online Mock Tests 22. cos 15° cos 75° - sin 15° sin 75° 4.nwonk era snoitcnuf cirtemonogirt xis eht fo seulav eht erehw selgna owt otni 57 57 tilpS 57nis gnitirweR )2 2 3√ − 2√ + 2√ = 51nis + 54nis ,oS 2√3 − 1 = √−−−−−−−− −2 03 soc − 1 = 2 03 nis = 51 nis 2 2√ = 2 1√ = 2 09soc − 1√ = 2 09nis = 54nis edis dnah tfel eht fo eulav eht gnidniF )1 :koot I spetS 3 semit k2 deweiV oga sraey 9 deifidoM oga sraey 9 deksA noitseuQ ksA su )51(nis dna )57(nis fo seulav eht etaluclac ot woh etartsnomed dna selgna dnuopmoc fo dlrow eht otni evled ew ,lairotut yrtemonogirt evisneherpmoc siht nI . Step 3. sin 15° = 1 2 2. Exact Form: √6 2 Decimal Form: 1. a si tu cu transformarea sumei in produsgasesti formula pe neteu n-am invatat-o niciodata si am promovat bine mersinu o sa itidea la BAC asa cevasau faci cu sin (45-30)+sin(45+30) astase face mai usor si dac ar trebuisa o fac far acces la formule , pe calea asta as merge Sin15, Sin75, Cos15, Cos75, Sin18, Sin36, Sin54, Sin72, Cos18, Cos36, Cos54, Cos72 trigonometrik değerleri tablodadır (nedir). sin 75 ∘ can be expressed as, sin 75 ∘ = sin ( 45 ∘ + 30 ∘) We know that sin ( A + B) = sin A cos B + cos A sin B. Download Solution PDF.2588, 0.707107 sin(60)=0. Iklan. Trig Functions are FUNCTIONS and proper functional notation should always be used. 입니다. ⇒ cos 15° = cos 375° = cos 735°, and so on.304811 sin(75)=-0. Then, Evaluate the following and justify your answer. sin 15° Multiply and divide by 2, we get = 1 2 2. Untuk menghitung nilai sin 75 sin 15, kita perlu memahami terlebih dahulu tentang trigonometri dan bagaimana sinus dapat dihitung. Pisahkan negasi. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest Бесплатное решение математических задач с поэтапными пояснениями поможет с домашними заданиями по алгебре, геометрии, тригонометрии, математическому анализу и статистике подобно репетитору по математике. Dalam menghitung 2 sin 75 sin 15, kita mentransformasikan sin 75 dan sin 15 menjadi ekspresi matematika yang lebih sederhana dan akurat. cos 15° We know that sin 2θ = 2 sin θ cos θ = 1 2 × sin 2 (15°) = 1 2 × sin (30°) = 1 2 × 1 2 = 1 4 Values of Sin 15, cos 15 ,tan 15 ,sin 75, cos 75 ,tan 75 of degrees can be easily find out using the trigonometric identities. 2cos^2 (15)-1., in EXACT form Values of sin 15, cos 15, tan 15.So this won't get us the answer. = (根号2+根号6)/4.8 Solving Systems with Cramer's Rule Trigonometri Contoh. Separate negation. on the L. 2、sin75°. Terapkan identitas beda sudut. Serial order wise. Squaring on both sides, we get.71 How to solve Using angle sum and difference identities, we can calc… cos(15)cos(75) - sin(15)sin(75) Simplify each term.2. Separate negation. cos 15° = cos ( 45° - 30° ) = cos 45 cos 30 + sin 45 sin 30. 2 * (0. See Answer. 150∘ = 5 × 30∘ and sin150∘ = 1 2 and cos150∘ = − √3 2.9659) of unit circle and r. Hence the value of sin 75° = y = 0. sin(75) + sin(15) = sin(45 + 30) + sin(45 – 30) We know that, sin(A + B) = sinA. jika kalian menemukan soal seperti ini maka cara penyelesaiannya kalian bisa menggunakan rumus trigonometri yaitu Sin a + b di sini bisa kita Tuliskan rumusnya seen as a + b itu bisa dijabarkan menjadi sinus cosinus B ditambah dengan cosinus a b, maka dari itu disini kita mempunyai 75 ada di sini sih Nas 75 itu bisa kita Ubah menjadi Sina 45 ditambah 30 Maka hasilnya menjadi 45 dikalikan You can put this solution on YOUR website! Sin 75°+cos 75° ~~~~~ sin(75°) + cos(75°) = (use cos(75°) = sin(90°-75°) = sin(15°) ) = sin(75°) + sin(15 So, sin 15° cos 15° = (1/2) sin (2*15°) = (1/2)sin 30° Cos15 o - sin15 o =? Q. cos50 ∘ cos5 ∘ + sin50 ∘ sin5 ∘ = cos(50 ∘ − 5 ∘) = cos45 ∘ = √2 2. Karnataka Board PUC PUC Science 2nd PUC Class 12. TCS Numerical Ability Question Solution - Find the value of sin 75° + sin 15° = ? or.1. Find the exact value of the expression cos 75°cos 15° - sin 75°sin 15° Rewrite the expression using a sum or difference formula Choose the correct answer below.cosB+sinB. 0.cosA 2(sin 15+ sin 75)^2 . 10 asked Jun 4, 2021 in Trigonometry by Daakshya01 ( 30.sinB and, sin(A – B) = sinA. cos 30°=√3/2. Q. sin 15° = sin (45° - 30°) = sin 45° cos 30° - cos 45° sin 30° = 1/√2 × √3/2 −1/√2 × 1/2 = 1/√2 ( (√3 − 1)/2) = (√𝟑 − 𝟏)/ (𝟐√𝟐) Next: Example 12 → Ask a doubt.9659) of the point of intersection (0.1. 10 asked Jun 4, 2021 in Trigonometry by Daakshya01 ( 30. Step 6. If you want sine 15° with higher accuracy, then use the Here, we have to find the value of sin 75° cos 15° + cos 75° sin 15°. Trigonometri adalah cabang matematika yang mempelajari hubungan antara sudut dan panjang sisi segitiga.6 Solving Systems with Gaussian Elimination; 9. oblicz sin75° sellinka: Posługując sie wzorem sin (α +β)= sinαα ×cosβ + cosα × sinβ oblicz sin 75 stopni. Show transcribed image text. Tìm Giá Trị Chính Xác sin (75 độ ) sin(75°) sin ( 75 °) Chia 75 75 thành hai góc trong đó các giá trị của sáu hàm lượng giác cơ bản đã biết.sin30) + (sin45. The Tier-1 Examination was conducted from 14th July 2023 to 27th July 2023. = 1/4 √6 + 1/4 √2.4 Partial Fractions; 9. cos 75° cos 15" - sin 75°sin 15sin (750 - 159) sin 60° OC, cos 75 Another way to solve the Example 2 is to note that 15° = 90° - 75° and then to apply the formulas for the complementary angle and to use results of the Example 1: cos(15°) = sin(75°) = , sin(15°) = cos(75°) = , tan(15°) = cot(75°) = 1/tan(75°) = .4. =sin (30°+45°). View Solution. Ketuk untuk lebih banyak langkah Penjawab soal matematika gratis menjawab soal pekerjaan rumah aljabar, geometri, trigonometri, kalkulus, dan statistik dengan penjelasan langkah-demi-langkah, seperti Constitution of India MCQ Cost Accounting MCQ. Apply the difference of angles identity. What is value of expression 2(sin 15º+sin 75°)? Solution:--we know that. cos 15° = sin 75° =. Evaluate the following and justify your answer.22 sin(75°) - sin(15°) ≈ 0.9659258. sin 75°: Now using the formula for the sine of the sum of 2 angles, sin ( A + B) = sin A cos B + cos A sin B, we can find the sine of (45° + 30°) to give sine of 75 degrees. 9. Click here👆to get an answer to your question ️ Prove that 2sin 75^o sin 15^o = 12. Nilai dari 2sin 67,5cos 67,5=. 三角函数是基本初等函数之一,是以角度(数学上最常用弧度制,下同)为自变量,角度对应任意角终边与单位圆交点坐标或其比值为因变量的函数。. 17 mar 12:16. Important Solutions 1004. What is trigonometry used for? Trigonometry is used in a variety of fields and applications, including geometry, calculus, engineering, and physics, to solve problems involving angles, distances, and ratios. The exact value of sin(15) sin ( 15) is √6−√2 4 6 - 2 4.26179 .9659) 2 This video works to determine the exact value for the sine of 15 degrees in two different ways: using the difference formula for sine and using the half-angl The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). Using the trigonometric identity, cos 90° = 0 Evaluate: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin 75 ∘ Cos 75 ∘ ∣ ∣ ∣ . Click here👆to get an answer to your question ️ Prove that sin 75^∘ - sin 15^∘ = cos 105^∘ + cos 15^∘ . Standard XII.5 Matrices and Matrix Operations; 9. 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 이야기죠.3, 5 (ii) → Ask a doubt.kutneb aparebeb malad naklipmatid tapad aynlisaH . Simplify (sin 75^(@)-sin 15^(@))/(cos 75^(@)+cos 15^(@)) 03:25. 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 이야기죠. =(根号6-根号2)/4. Hence the value of sin 15° = y = 0. BUT we don't know sine and cosine of #75^@#. For example, with a few substitutions, we can derive the sum-to-product identity for sine.e. Lets explore few ways Value of sin 15 degrees Method 1 ( using sin 30) Solution Find the value of given trigonometric ratio. Nilai eksak dari adalah . 와. Dengan menggantikan nilai sin 75 = (√6 + √2) / 4 dan sin 15 = (√6 - √2) / 4 ke dalam Transcript. Related Symbolab blog posts. Agriculture MCQ Statistics MCQ. To calculate the sine of a half angle sin (x/2), follow these short steps: Write down the angle x and replace it within the sine of half angle formula: sin (x/2) = ± √ [ (1 - cos x)/2].3em] \end{vmatrix}\) On expanding the above, ⇒ {cos 15°} {cos 15°} - {sin 15°} {sin 15°} On applying formula cos(A + B) = cos A cos B - sin A sin B = cos (15 + 15) = cos (30°) exact value of sin 75 + sin 15 Jika diketahui bahwa cos 1/2 theta=akar ( (x+1)/2x), operas Tentukan nilai dari sin 105+sin 15. So, sin45 + sin15 = √2 + √2 − √3 2. Tonton video. … Split 75 75 into two angles where the values of the six trigonometric functions are known. Evaluate the following and justify your answer. The exact value of is .3 Lakh Users 100 Questions 200 Marks 60 Mins Start Now Detailed Solution Download Solution PDF ⇒ sin 15° + sin 75° = sin 15° + cos 15° = t Squaring on both sides, we get ⇒ sin 2 15° + cos 2 15° + 2sin 15°. so, =4×1/√2 × √ cos (A + B) = cos A cos B - sin A sin B. Click here👆to get an answer to your question ️ Evaluate sin 15^∘sec 75^∘. Here is an example of using a sum identity: Find #sin15^@#. Jawaban Nilai sin 75 sin 15. Note: we can also convert $\sin 15$ into $\cos 75$. Nilai eksak dari adalah .2588, 0. Question 3: Find the value of sin(120°) Solution: We can write 120° as (180° - 60°), So, sin(120°) = sin(180° - 60°) ⇒ sin 15° + sin 75° = sin 15° + cos 15° = t. You can obtain the values from a table and then work out the arithmetic. Co-ordinate geometry.S. Explanation: The expression given matches the pattern of the formula for sin(x + y). sin 15 = sin 30 2 = 1 − cos 30 2− −−−−−−−−√ = 1 − 3√2. (i) sin215 +sin275 cos236 +cos254. So. 참고로 sinx = cos (90-x)입니다. Tentukan Nilai yang Tepat sin (75)+sin (15) sin(75) + sin(15) Sederhanakan setiap suku. 4 În trei luni la teatrul ,,Luceafărul" s-au realizat 54 728 de bilete. Let's see how we can do that step by step.sin30) = 2sin45. These formulas can be derived from the product-to-sum identities. We have \(\begin{vmatrix} cos 15^\circ & sin 15^\circ\\[0. The exact value of is . To find the value of sin 75 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a 75° angle with the positive x-axis. 1) A mass of m=10−kg hangs by the combination of ropes shown in the figure. Kita gunakan rumus selisih cos ( α - β ) = cos α cos β + sin α sin β. Add and . Ask Unlimited Doubts; Video Solutions in multiple languages (including Hindi) Video Lectures by Experts; Free PDFs (Previous Year Papers, Book Solutions, and many more) Attend Special Counselling Seminars for IIT-JEE, NEET and Board Exams; Login +91. Salah satu fungsi trigonometri yang penting adalah fungsi sinus (sin). Enter a problem Cooking Calculators. Step 2. =1/2 x 根号2/2 +根号3/2 x 根号2/2.cosB + cosA. Tap for more steps (√2 + √6)(√6 + √2) 16 Here is another Method to prove the Result : Observe that the Exp. Step 3. Syllabus. Ketuk untuk lebih banyak langkah Sederhanakan suku-suku. sin 15° = sin (45° – 30°) = sin 45° cos 30° – cos 45° sin 30° = 1/√2 × √3/2 −1/√2 × 1/2 = 1/√2 ( (√3 − 1)/2) = (√𝟑 − 𝟏)/ (𝟐√𝟐) Next: Example 12 → Ask a doubt. Step 8. 30 +165 -- I don't recognize 165∘ as a multiple of a special angle.2k points) trigonometric functions View Solution.9659, 0.3em] sin 15^\circ & cos 15^\circ \\[0. cos ( α + β ) = cos α cos β − sin α sin β.15. We have to convert the associative angle using other formulas to simplify it.965926 sin(90)=1. Prize & Rules. Lượng giác. Step 1. = 1/2 √2 . Ex 3. ∴ sin 15° = (√3−1)/2√2.732 and √2 = 1. Pull terms out from under the radical.cos30 + cos45. 1. As we know that, cos x cos y - sin x sin y = cos (x + y) ∴ cos 75° cos 15° - sin 75° sin 15° = cos (75° + 15°) = cos 90°.pl. 1 2cos(45)+cos(30)sin(45) 1 2 cos ( 45) + cos ( 30) sin ( 45) sin(75) +sin(15) Solve Evaluate 1. Expanding the determinant, we get .) Not the exact question you're looking for? Post any question and get expert help quickly. This year, SSC completely changed … Calculati sin 15° + sin 75° - 4066098. 7 Min. Tap for more steps √6 2 The result can be shown in multiple forms. cos ( α + β ) = cos α cos β − sin α Sa se calculeze: A)sin 75; - 612819. If sin (A + B) = sin A cos B + cos A sin B and cos (A - B) = cos A cos B + sin A sin B, find the values of (i) sin 75∘ and (ii) cos 15∘. 02:45. Hence the value of sin 75° = y = 0. (i) sin2 +sin275 cos236 +cos2. Nilai dari cos 75 cos 15-sin 75 sin 15 adalah .893997 but this table is wrong when I checked it with the standard table. Important Solutions 7569. = 0.sinB . nilai sin 15° + sin 75° per cos 15° - cos 105° adalah. Maka rumusnya … \sin (75)\cos (15) en. {8x + 2y = 46 7x + 3y = 47.$ As we know from above that sin 75 = (√3+1)/2√2 and cos 75 = (√3-1)/2√2, so we get that . Click here:point_up_2:to get an answer to your question :writing_hand:find the value of … The value of the expression $2{{\left( \sin 15+\sin 75 \right)}^{2}}$ is 3. so, = 4sin 45° cos 30° we know.ecneics dna shtam rof mroftalp gninrael enilno tseb eht ,S'UJYB htiw ti dniheb tpecnoc eht dna noitulos eht nraeL ?salumrof cirtemonogirt gnisu °51 nis - °51 soc fo eulav eht dnif ot woH −A(nis taht setats alumrof ehT . Science Anatomy & Physiology Astronomy Astrophysics Biology Chemistry Simplify (sin 75^(@)-sin 15^(@))/(cos 75^(@)+cos 15^(@)) 03:25. sin(45)cos(30)−cos(45)sin(30) sin ( 45) cos ( 30) - cos ( 45) sin ( 30) 解答过程如下:. sin(30+45) sin ( 30 + 45) Apply the sum of angles identity. Tap for more steps Step 1. Calculate s i n 15 o. Split into two angles where the values of the six trigonometric functions are known. Evaluate ∣∣ ∣cos15∘ sin15∘ sin75∘ cos75∘∣∣ ∣. Rewrite as . Split into two angles where the values of the six trigonometric functions are known. Step 7. Find the Exact Value sin(15) Step 1.