Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.4 - Trigonometric Functions of Any Angle - Concept and Vocabulary Check - Page 575: 1


Let $\theta $ be any angle in standard position and let $p=\left( x,y \right)$ be any point besides the origin on the terminal side of $\theta $. If $r=\sqrt{{{x}^{2}}+{{y}^{2}}}$ is the distance from $\left( 0,0 \right)$ to $\left( x,y \right)$ , the trigonometric functions of $\theta $ are defined as follows: $\begin{align} & \sin \theta =\underline{\frac{y}{r}}\text{ }\csc \theta =\underline{\frac{r}{y}} \\ & cos\theta =\underline{\frac{x}{r}}\text{ }\sec \theta =\underline{\frac{r}{x}} \\ & \tan \theta =\underline{\frac{y}{x}}\text{ cot}\theta =\underline{\frac{x}{y}} \\ \end{align}$.

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