Question

Lay down the positions of the points whose polar coordinates are:$(3,{45}^o)$

Answer 1

Polar co-ordinates are $(3,{45}^{\circ })$
Then, we have $r=3$ and $\theta ={45}^{\circ }$
$x=rcos\theta =3\times \frac{1}{\sqrt{2}}$
$y=rsin\theta =3\times \frac{1}{\sqrt{2}}$
Since, $x$ and $y$ are positive
$\Rightarrow$ Point will be in 1st quadrant.