Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.3 - Polar Coordinates - Exercise Set - Page 742: 10



Work Step by Step

Consider the given polar coordinate $\left( -3,-\frac{5\pi }{4} \right)$ as $\left( r,\theta \right)$. Here, $\begin{align} & \theta =-\frac{5\pi }{4} \\ & r<0 \\ \end{align}$ From above, it is clear that $\theta $ has been taken in the clockwise direction and $r<0$, so $r$ lies opposite to the terminal side. Hence, $\left( -3,-\frac{5\pi }{4} \right)$ coordinate lies in the fourth quadrant.
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