Answer
$ sin(\pi-x)= sin x$
Work Step by Step
Need to prove $ sin({\pi}-x)=sinx$
Since,
$sin(A-B)=sinA cos B-cos A sin B$
Thus,
$ sin(\pi-x)=sin\pi cos x-cos \pi sin x$
$ sin(\pi-x)=0. cos x-(-1) sin x$
Hence, $ sin(\pi-x)= sin x$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Appendix D - Trigonometry - D Exercises - Page A32: 44
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