Question

Lay down the positions of the points whose polar coordinates are $(4,{135}^o)$

Answer 1

Polar co-ordinates are $(4,{135}^{\circ })$
Then, $r=4$ and $\theta =\pi -{45}^{\circ }$
$x=rcos\theta =4cos(\pi -{45}^{\circ })=-2\sqrt{2}$

$y=rsin\theta =4sin(\pi -{45}^{\circ })=2\sqrt{2}$
Thus, the Cartesian co-ordinates are $(-2\sqrt{2},2\sqrt{2})$.