Question

Find the polar co-ordinates of the points whose cartesian co-ordinates are $(-3,4)$?

Given $x=3,y=4$

Answer 1

Given, the cartesian coordinates are $(-3,4)$

and $x=3$, $y=4$

So, $r=\sqrt{3^2{+4}^2}=\sqrt{9+16}=5$

And, $\tan \theta =\frac{y}{x}=\frac{4}{3}\Rightarrow \theta ={\tan }^{-1}\left(\frac{4}{3}\right)={53.13010235}^o.$