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: 17

Answer

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

Work Step by Step

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