Question

How do you convert `(3, 1)` from cartesian to polar coordinates?

Answer 1

`sqrt 10 (cos theta + i sin theta)`

Explanation:

`r = sqrt{x^2 + y^2} ; tan theta = y/x`

`r = sqrt{9 + 1} ; tan theta = 1/3`

`r = sqrt{10} ; theta = arctan frac{1}{3}`