Find the exact value of the following expression. 5л 12 sin Rewrite the expression using a sum or difference formula. Choose the correct answer below. O A. sin OB. sin OC. sin OD. sin 5л 12 5x 12 5л 12 5 п 12 = sin = sin = sin = sin - T 4 5x 4 T + 4 + 5x 4 6 6 - 5л 6 5x is = sin 6 = sin - T 4 = COS 尺寸 4 = COS COS 5 4 COS 5п 4 π 6 COS R6 + cos π 5 п 6 - Cos COS 5 п 6 T 4 sin sin #14 sin + sin H|6 5x 5п sin 4 6 6 5л 5п sin 4 5t The exact value of sin 12 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) mis ques
Find the exact value of the following expression. 5л 12 sin Rewrite the expression using a sum or difference formula. Choose the correct answer below. O A. sin OB. sin OC. sin OD. sin 5л 12 5x 12 5л 12 5 п 12 = sin = sin = sin = sin - T 4 5x 4 T + 4 + 5x 4 6 6 - 5л 6 5x is = sin 6 = sin - T 4 = COS 尺寸 4 = COS COS 5 4 COS 5п 4 π 6 COS R6 + cos π 5 п 6 - Cos COS 5 п 6 T 4 sin sin #14 sin + sin H|6 5x 5п sin 4 6 6 5л 5п sin 4 5t The exact value of sin 12 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) mis ques
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
![**Mathematics: Trigonometry**
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**Find the exact value of the following expression.**
\[ \sin \frac{5\pi}{12} \]
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**Rewrite the expression using a sum or difference formula. Choose the correct answer below.**
\[ \sin \frac{5\pi}{12} = \sin \left( \frac{\pi}{4} + \frac{\pi}{6} \right) = \sin \frac{\pi}{4} \cos \frac{\pi}{6} + \cos \frac{\pi}{4} \sin \frac{\pi}{6} \]
- **Option A:**
\[ \sin \frac{5\pi}{12} = \sin \left( \frac{\pi}{4} + \frac{\pi}{6} \right) = \sin \frac{\pi}{4} \cos \frac{\pi}{6} + \cos \frac{\pi}{4} \sin \frac{\pi}{6} \]
- **Option B:**
\[ \sin \frac{5\pi}{12} = \sin \left( \frac{5\pi}{4} - \frac{5\pi}{6} \right) = \cos \frac{5\pi}{4} \cos \frac{5\pi}{6} - \sin \frac{5\pi}{4} \sin \frac{5\pi}{6} \]
- **Option C:**
\[ \sin \frac{5\pi}{12} = \sin \left( \frac{\pi}{4} + \frac{\pi}{6} \right) = \sin \frac{\pi}{4} \cos \frac{\pi}{6} - \cos \frac{\pi}{4} \sin \frac{\pi}{6} \]
- **Option D:**
\[ \sin \frac{5\pi}{12} = \sin \left( \frac{5\pi}{4} - \frac{5\pi}{6} \right) = \cos \frac{5\pi}{4} \cos \frac{5\pi}{6} + \sin \frac{5\pi}{4} \sin \frac{5\pi}{6} \]
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**The exact value of** \(\sin \frac{5\pi}{12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F812a333f-5569-4734-822a-5aed0505f779%2Ff09b55e5-1bb3-441f-b24f-42cf0895d2cd%2Fhiy44jc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Mathematics: Trigonometry**
---
**Find the exact value of the following expression.**
\[ \sin \frac{5\pi}{12} \]
---
**Rewrite the expression using a sum or difference formula. Choose the correct answer below.**
\[ \sin \frac{5\pi}{12} = \sin \left( \frac{\pi}{4} + \frac{\pi}{6} \right) = \sin \frac{\pi}{4} \cos \frac{\pi}{6} + \cos \frac{\pi}{4} \sin \frac{\pi}{6} \]
- **Option A:**
\[ \sin \frac{5\pi}{12} = \sin \left( \frac{\pi}{4} + \frac{\pi}{6} \right) = \sin \frac{\pi}{4} \cos \frac{\pi}{6} + \cos \frac{\pi}{4} \sin \frac{\pi}{6} \]
- **Option B:**
\[ \sin \frac{5\pi}{12} = \sin \left( \frac{5\pi}{4} - \frac{5\pi}{6} \right) = \cos \frac{5\pi}{4} \cos \frac{5\pi}{6} - \sin \frac{5\pi}{4} \sin \frac{5\pi}{6} \]
- **Option C:**
\[ \sin \frac{5\pi}{12} = \sin \left( \frac{\pi}{4} + \frac{\pi}{6} \right) = \sin \frac{\pi}{4} \cos \frac{\pi}{6} - \cos \frac{\pi}{4} \sin \frac{\pi}{6} \]
- **Option D:**
\[ \sin \frac{5\pi}{12} = \sin \left( \frac{5\pi}{4} - \frac{5\pi}{6} \right) = \cos \frac{5\pi}{4} \cos \frac{5\pi}{6} + \sin \frac{5\pi}{4} \sin \frac{5\pi}{6} \]
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**The exact value of** \(\sin \frac{5\pi}{12
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