Question

How do you convert the rectangular point `(3,3)` into polar form?

Answer 1

Polar form of the point `(3,3)` is `(3 sqrt2,45^0)`

Explanation:

Polar form of a point is expressed as`(r,theta)` where

`r= sqrt(x^2+y^2) , tan theta=y/x` . The rectangular point

is `x=3,y=3` and is in first quadrant.

`:.r= sqrt(x^2+y^2)=sqrt(3^2+3^2)=sqrt18=3 sqrt2` and

`tan theta= y/x=3/3=1 ; tan 45=1 :. theta=45^0`

Polar form of the point `(3,3)`is `(3 sqrt2,45^0)` [Ans]