## Precalculus (10th Edition)

Published by Pearson

# Chapter 9 - Polar Coordinates; Vectors - 9.1 Polar Coordinates - 9.1 Assess Your Understanding - Page 572: 43

#### Answer

$(-2,0)$

#### Work Step by Step

By definition: $x=r\cdot \cos(\theta)$ and $y=r\cdot \sin(\theta)$. Here $r=-2 \text{ and } \theta=0$. Hence, after plugging these in: $x=-2\cdot \cos(0)=-2\cdot1=-2$ $y=-2\cdot \sin(0)=-2\cdot0=0$ The point has coordinates $(-2,0)$ in the rectangular coordinate system.

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