Precalculus (6th Edition)

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

Chapter 7 - Trigonometric Identities and Equations - 7.3 Sum and Difference Identities - 7.3 Exercises: 64

Answer

$-\sin\theta$

Work Step by Step

Use the subtraction formula for cosine, $\cos (A-B)=\cos A\cos B+\sin A\sin B$: $\cos(\theta-270^\circ)$ $=\cos\theta\cos 270^\circ+\sin\theta\sin 270^\circ$ $=\cos\theta*0+\sin\theta*(-1)$ $=-\sin\theta$
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