Question

What is `(1/2,4/5)` in polar coordinates?

Answer 1

`r=sqrt(x^2+y^2)=sqrt(1/4+16/25 )=0.94`
`theta=tan^-1 (y/x)=tan^-1 ((4/5)/(1/2))=1.01`

Explanation:

Use the formulas `r^2=x^2+y^2, and tan theta = y/x` to change from rectangular to polar.