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: 15

Answer

$\sin\theta=\frac{y}{r}=\frac{\sqrt 3}{2}$ $\cos\theta=\frac{x}{r}=\frac{1}{2}$ $\tan\theta=\frac{y}{x}=\frac{\sqrt 3}{1}=\sqrt 3$ $\csc\theta=\frac{r}{y}=\frac{2}{\sqrt 3}=\frac{2\sqrt 3}{3}$ $\sec\theta=\frac{r}{x}=\frac{2}{1}=2$ $\cot\theta=\frac{x}{y}=\frac{1}{\sqrt 3}=\frac{\sqrt 3}{3}$

Work Step by Step

$x=1$ $y=\sqrt 3$ $r=\sqrt{(1)^{2}+(\sqrt 3)^{2}}=\sqrt {1+3}= 2$
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