Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 8 - Section 8.1 - Polar Coordinates - 8.1 Exercises - Page 592: 12

Answer

Two other polar coordinate representations of this point: $ (-2, \frac{7\pi}{4})$ and $ (2, \frac{11\pi}{4})$ -----

Work Step by Step

1. Plot the point. $3\pi/4$ is exactly in the middle of the second quadrant, draw a line with that angle that measures 2 units. 2. Another polar coordinate representation can be given by: $$(-r,\theta + \pi) = (- 2, \frac{3\pi}4 + \pi) = (-2, \frac{7\pi}{4})$$ or $$(r, \theta + 2\pi) = (2 , \frac{3\pi}{4} + 2\pi) = (2, \frac{11\pi}4)$$
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