4. Find the exact value of each of the following expressions. Do not round your answers. (a) sin(157.5°) (b) tan ()
4. Find the exact value of each of the following expressions. Do not round your answers. (a) sin(157.5°) (b) tan ()
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 4E
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Question
Please explain each step
Expert Solution
Step 1
(1)
Given:
Applying half angle identity,
Step 2
157.5 is in second quadrant and . Therefore, taking the positive root,
Thus, the exact value of sin157.5 is 0.38268.
(2)
Given:
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