Question

Lay down the positions of the points whose polar coordinates are $(5,-{675}^o)$

Answer 1

Given polar co-ordinates are $(5,-{675}^{\circ })$
Then, $r=5$ and $\theta =-{675}^{\circ }$
$x=rcos\theta =5cos(-4\pi +{45}^{\circ })=\frac{5}{\sqrt{2}}$
$y=rsin\theta =5sin(-4\pi +{45}^{\circ })=\frac{5}{\sqrt{2}}$
Thus, the polar co-ordinates are $(\frac{5}{\sqrt{2}},\frac{5}{\sqrt{2}})$