Question

Convert the rectangular point (-1, 3) to polar form?

Answer 1

`(sqrt10, -71.565°)`

Explanation:

Given (1, -3) -> (r, `theta)`

`r= sqrt(x^2+y^2)`
`theta= arctan(y/x)`

`r= sqrt(1^2+(-3)^2)=sqrt10`
`theta= arctan(-3/1)=-71.565°`

Thus polar coordinates: `(sqrt10, -71.565°)`