- #1

Gundown64

- 9

- 0

## Homework Statement

The Cartesian coordinates of a point are given. (3,-5)

(i) Find polar coordinates (r, θ) of the point, where

r > 0 and 0 ≤ θ < 2π.

(ii) Find polar coordinates (r, θ) of the point, where

r < 0 and 0 ≤ θ < 2π.

## Homework Equations

r^2=x^2+y^2

tanθ=(y/x) → θ=arctan(y/x)

## The Attempt at a Solution

r=√(9+25)=√(34)

θ=arctan(-5/3)

The problem must be in exact terms which typically involves pi (in the problems I have worked at least). Radians and degrees are not allowed as an answer. What is the value for theta? I can't figure out where to go from there. Any help is appreciated. Thanks!