Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 8 - Section 8.5 - Polar Coordinates - 8.5 Problem Set - Page 458: 21

Answer

$(2,-300^\circ), (-2,240^\circ),(-2,-120^\circ)$.

Work Step by Step

If we have a point $(r,\theta)$, the points $(r,\theta+k360^\circ)$ and $(-r, \theta+180^\circ+l360^\circ)$ with $k,l$ integers will represent the same point. Hence here for $\theta$ to be between $-360^\circ$ and $360^\circ$ we get the following points: $(2,-300^\circ), (-2,240^\circ),(-2,-120^\circ)$.
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