Question

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

Answer 1

`( 5 , 53.13^@)`

Explanation:

Using the formulae which links Cartesian to Polar coordinates.

`• r^2 = x^2 + y^2`

`• theta = tan^-1(y/x)`

here x = 3 and y = 4

hence : `r^2 = 3^2 + 4^2 = 25 rArr r = sqrt25 = 5`

and `theta = tan^-1(4/3) = 53.13^@`