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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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 50E
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**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:** \[ \sin \frac{5\pi}{12} = \sin \left( \frac{5\pi}{4} - \frac{5\pi}{6} \right) = \cos \frac{5\pi}{4} \cos \frac{5\pi}{6} + \sin \frac{5\pi}{4} \sin \frac{5\pi}{6} \] --- **The exact value of** \(\sin \frac{5\pi}{12
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:** \[ \sin \frac{5\pi}{12} = \sin \left( \frac{5\pi}{4} - \frac{5\pi}{6} \right) = \cos \frac{5\pi}{4} \cos \frac{5\pi}{6} + \sin \frac{5\pi}{4} \sin \frac{5\pi}{6} \] --- **The exact value of** \(\sin \frac{5\pi}{12
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