Trigonometry (10th Edition)

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

Chapter 1 - Trigonometric Functions - Section 1.3 Trigonometric Functions - 1.3 Exercises - Page 26: 9

Answer

$\sin\theta=\frac{y}{r}=\frac{2}{2}=1$ $\cos\theta=\frac{x}{r}=\frac{0}{2}=0$ $\tan\theta=\frac{y}{x}=\frac{2}{0}=undefined$ $\csc\theta=\frac{r}{y}=\frac{2}{2}=1$ $\sec\theta=\frac{r}{x}=\frac{2}{0}=undefined$ $\cot\theta=\frac{x}{y}=\frac{0}{2}=0$

Work Step by Step

$x=0$ $y=2$ $r=\sqrt{(0)^{2}+(2)^{2}}=\sqrt {0+4}= 2$
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