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17π . Find the exact value of sin by using the fact that 17/12 = 7/6 + 14 and the 12 identity sin(A + B) = sin A cos B + cos A sin B.

17π . Find the exact value of sin by using the fact that 17/12 = 7/6 + 14 and the 12 identity sin(A + B) = sin A cos B + cos A sin B.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem 14:** Find the exact value of \(\sin \frac{17\pi}{12}\) by using the fact that \(17/12 = 7/6 + 1/4\) and the identity \(\sin(A + B) = \sin A \cos B + \cos A \sin B\). --- **Problem 15:** Use right triangles to help you determine the exact value of the following expression: \(\cos\left( \sin^{-1}\left(\frac{12}{13}\right) + \cos^{-1}\left(\frac{8}{17}\right) \right)\). (Hint: \(\cos(A + B) = \cos A \cos B - \sin A \sin B\))
Transcribed Image Text:**Problem 14:** Find the exact value of \(\sin \frac{17\pi}{12}\) by using the fact that \(17/12 = 7/6 + 1/4\) and the identity \(\sin(A + B) = \sin A \cos B + \cos A \sin B\). --- **Problem 15:** Use right triangles to help you determine the exact value of the following expression: \(\cos\left( \sin^{-1}\left(\frac{12}{13}\right) + \cos^{-1}\left(\frac{8}{17}\right) \right)\). (Hint: \(\cos(A + B) = \cos A \cos B - \sin A \sin B\))
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