## Trigonometry (11th Edition) Clone

Published by Pearson

# Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.5 Polar Equations and Graphs - 8.5 Exercises - Page 396: 75

#### Answer

This is a graph of $~~r = a~\theta~~$ for $a=1$ and values of $\theta$ such that $0 \leq \theta \leq 4\pi$ We can see the graph in the window $[-15,15]$ by $[-15,15]$

#### Work Step by Step

This is a graph of $~~r = a~\theta~~$ for $a=1$ and values of $\theta$ such that $0 \leq \theta \leq 4\pi$ Note that $r = 0$ when $\theta = 0$, and $r$ continues to increase as $\theta$ increases. This leads to a spiral shape. At the endpoint of the spiral, $r = 4\pi$ when $\theta = 4\pi$ We can see the graph in the window $[-15,15]$ by $[-15,15]$

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