Answer
True.
Work Step by Step
True. Start from the left side $LHS=tan\theta\cdot cos\theta=\frac{sin\theta}{cos\theta}\cdot cos\theta=sin\theta=RHS$ when $\theta\ne(2k+1)\frac{\pi}{2}$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 6 - Analytic Trigonometry - Section 6.4 Trigonometric Identities - 6.4 Assess Your Understanding - Page 496: 8
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