Answer
See graph, $(1,\sqrt 3)$
Work Step by Step
1. See graph for $(-2,\frac{4\pi}{3})$ in polar coordinates.
2. We have $x=-2cos(\frac{4\pi}{3})=1, y=-2sin(\frac{4\pi}{3})=\sqrt 3$, thus $(1,\sqrt 3)$ in rectangular coordinates.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 8 - Polar Coordinates; Vectors - Chapter Review - Review Exercises - Page 654: 2
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