Question

How do you find the rectangular coordinates given `(6, 150^o)`?

Answer 1

Rectangular coordinates are `(-3sqrt3,3)`

Explanation:

If polar coordinates are `(r,theta)`,

rectangular coordinates are `(rcostheta,rsintheta)`

As polar coordinates are `(6,150^o)`,

rectangular coordinates are `(6xxcos150^o,6sin150^o)`

or `(6xx-sqrt3/2,6xx1/2)`

or `(-3sqrt3,3)`