Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.2 Trigonometric Functions: Unit Circle Approach - 6.2 Assess Your Understanding - Page 380: 114



Work Step by Step

RECALL: $(f \circ h)(x)=f\left(h(x)\right)$ Use the rule above to obtain: $\left(h\circ f\right)\left(\dfrac{5\pi}{6}\right)=h\left(f\left(\dfrac{5\pi}{6}\right)\right)=h\left(\sin{\left(\dfrac{5\pi}{6}\right)}\right)=h\left(\dfrac{1}{2}\right)=2\left(\dfrac{1}{2}\right)=1$
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