Question

How do you convert the polar coordinate `(6,pi/6)` into rectangular coordinates?

Answer 1

The rectangular coordinates will be x=5.2, y=3 written (5.2, 3)

Explanation:

The conversion equations are

`x=rcostheta` and `y=rsintheta`

With the above values, we get

`x=6cos(pi/6) = 6(0.866) = 5.2`

`y=6sin(pi/6) = 6(0.5)= 3`