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: 8

Answer

A.

Work Step by Step

Consider the given polar coordinate $\left( 3,-{{315}^{\circ }} \right)$ as $\left( r,\theta \right)$. Here, $\begin{align} & \theta =-31{{5}^{\circ }} \\ & r>0 \\ \end{align}$ From above, it is clear that $\theta $ has been taken in the clockwise direction and $r>0$, so $r$ lies on the terminal side. Hence, $\left( 3,-{{135}^{\circ }} \right)$ coordinate lies in the first quadrant.
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