Question

How do you convert `(2,2)` into polar forms?

Answer 1

`(2sqrt2,pi/4)`

Explanation:

`x=rcostheta=>2=rcostheta`
`y=rsintheta=>2=rsintheta`
combining these two
`tantheta=2/2=1=>theta =arctan1=pi/4`
`r=sqrt(x^2+y^2)=sqrt(2^2+2^2)=2sqrt2`
hence polar coordinate
`(2sqrt2,pi/4)`