Question

How do you convert `( 1/3 , 1/4 )` to polar form?

Answer 1

In polar form expressed as `5/12 , 36.87^0`

Explanation:

Cartesian co ordinate is `(1/3,1/4)`
Polar co-ordinate is `(r, theta)` where `r= sqrt (x^2+y^2) , theta=tan^-1 (y/x) :. r = sqrt ((1/3)^2+(1/4)^2) = 5/12 , theta= tan^-1((1/4)/(1/3))=tan^-1(3/4)=36.87^0`
In polar form expressed as `5/12 , 36.87^0` [Ans]