Answer
$$\cot\alpha\sin\alpha=\cos\alpha$$
Work Step by Step
$$A=\cot\alpha\sin\alpha$$
- Quotient Identity: $$\cot\alpha=\frac{\cos\alpha}{\sin\alpha}$$
That makes $A$ into $$A=\frac{\cos\alpha}{\sin\alpha}\times\sin\alpha$$
$$A=\cos\alpha$$
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: 24
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