Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Appendix D - Trigonometry - D Exercises: 45

Answer

$ sin\theta$ $cot\theta=cos\theta$

Work Step by Step

Need to prove $ sin\theta$ $cot\theta=cos\theta$ Since, $cot\theta=\frac{cos\theta}{ sin\theta}$ (quotient property) Thus, $ sin\theta cot\theta=sin\theta\times\frac{cos\theta}{ sin\theta}$ Hence, $ sin\theta$ $ cot\theta=cos\theta$
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