Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 7 - Trigonometric Identities and Equations - Test - Page 740: 5

Answer

(a) $ -sin\theta$ (b) $ tan(x)$

Work Step by Step

Use Addition and Subtraction Formula, we have: (a) $cos(270^\circ-\theta)=cos(270^\circ)cos(\theta)+sin(270^\circ)sin(\theta)=-sin\theta$ (b) $tan(\pi+x)=\frac{tan(\pi)+tan(x)}{1-tan(\pi)tan(x)}=tan(x)$
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