Calculus 8th Edition

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

Appendix D - Trigonometry - D Exercises: 26

Answer

$sin(-5\pi)=0$ $cos(-5\pi)=-1$ $tan(-5\pi)=0$ $csc(-5\pi)=undefined$ $sec(-5\pi)=-1$ $cot(-5\pi)=undefined$

Work Step by Step

Since, $-5\pi$ is coterminal angle with $\pi$ i.e at negative x-axis, which can be considered as common angle to all trigonometric ratios. The trigonometric ratios and their inverse trigonometric ratios are given as follows: $sin(-5\pi)=sin\pi=0$ $cos(-5\pi)=cos\pi=-1$ $tan(-5\pi)=tan\pi=0$ $csc(-5\pi)=\frac{1}{sin(-5\pi)}=undefined$ $sec(-5\pi)=\frac{1}{cos(-5\pi)}=-1$ $cot(-5\pi)=\frac{1}{tan(-5\pi)}=undefined$
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