Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

APPENDIX D - Trigonometry - D Exercises: 42

Answer

$ cos(\frac{\pi}{2}-x)=sinx$

Work Step by Step

Need to prove $ cos(\frac{\pi}{2}-x)=sinx$ $ cos(A-B)=cos A cos B+sinA sin B$ Thus, $ cos(\frac{\pi}{2}-x)=cos \frac{\pi}{2} cos x+sin\frac{\pi}{2} sin x$ $ cos(\frac{\pi}{2}-x)=0*cos x+1*sin x$ Hence, $ cos(\frac{\pi}{2}-x)=sinx$
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