Question

What is the polar form of `( -4,6 )`?

Answer 1

`(-4,6)=(2sqrt13,-0.923)`

Explanation:

For any point `P(a,b)` in the Cartesian plane, we can convert it to polar form `(r, vartheta)` using the following formulae

`r=sqrt(a^2+b^2)`

`vartheta=arctan(b/a)`

`thereforer=sqrt(-4^2+6^2)=2sqrt13` and `vartheta=arctan(-4/6)=-0.923`

`therefore(-4,6)=(2sqrt13,-0.923)`