Convert the Cartesian coordinates to polar coordinates, 0 ≤ θ < 2𝝅, r >0

Question

#1: Coordinate (2,5)

R=√29

θ=?

I've found the answer to R but how do I solve for theta?

Answer 1

Theta = tan^-1(5/2) = tan^-1(2.5) = 68.199

= about 68 degrees = about .38pi = about 1.19 radians

use a calculator with an inverse tangent function

(sqr29, .38pi) are the polar coordinates for (2,5)