Answer
$$\tan\theta\cos\theta=\sin\theta$$
Work Step by Step
$$A=\tan\theta\cos\theta$$
- Quotient Identity: $$\tan\theta=\frac{\sin\theta}{\cos\theta}$$
That makes $A$ into $$A=\frac{\sin\theta}{\cos\theta}\times\cos\theta$$
$$A=\sin\theta$$
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671775
ISBN 13:
978-0-32167-177-6
Chapter 5 - Trigonometric Identities - Section 5.2 Verifying Trigonometric Identities - 5.2 Exercises - Page 202: 23
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