Question

How do you change the polar coordinates of (5, pi ) to rectangular coordinates?

Answer 1

Coordinates are `(-5,0)`.

Explanation:

If we have polar coordinates `(r,theta)`, respective rectangular coordinates are given by `(rcostheta,rsintheta)`.

Hence, rectangular coordinates of the polar coordinates `(5,pi)` are

`(5cospi,5sinpi)` and as `cospi=-1` and `sinpi=0`

Coordinates are `(5xx(-1),5xx0)` or `(-5,0)`.