Calculus 8th Edition

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

Appendix D - Trigonometry - D Exercises: 43

Answer

$ sin(\frac{\pi}{2}+x)=cosx$

Work Step by Step

Need to prove $ sin(\frac{\pi}{2}+x)=cosx$ Since, $sin(A+B)=sinA cos B+cos A sin B$ Thus, $ sins(\frac{\pi}{2}+x)=sin\frac{\pi}{2} cos x+cos \frac{\pi}{2} sin x$ $sin(\frac{\pi}{2}+x)=1.cos x+0.sin x$ Hence, $ sin(\frac{\pi}{2}+x)=cosx$
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