Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 1 - Review Exercises - Page 42: 38

Answer

$\sin\theta=\frac{y}{r}=\frac{-1}{1}=-1$ $\cos\theta=\frac{x}{r}=\frac{0}{1}=0$ $\csc\theta=\frac{r}{y}=\frac{1}{-1}=-1$ $\sec\theta=\frac{r}{x}=\frac{1}{0}=undefined$ $\tan\theta=\frac{y}{x}=\frac{-1}{0}=undefined$ $\cot\theta=\frac{x}{y}=\frac{0}{-1}=0$

Work Step by Step

$\theta=-90^{\circ}; x= 0; y=-1$ $r=\sqrt {(x)^{2}+(y)^{2}}= \sqrt {(-1)^{2}+(0)^{2}}=\sqrt {1}=1$
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