# Chapter 6 - Section 6.3 - Polar Coordinates - Exercise Set - Page 742: 3

A

#### 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 counter 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 first quadrant.

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