Question

How do you convert `(3, 4pi/3)` to rectangular form?

Answer 1

The rectangular form (x, y) = ( `-`3 / 2, `-` 3`sqrt`3 / 2 ).

Explanation:

r = 3, `theta` = 4`pi`/3.
x = r cos `theta` and y = r sin `theta`.
cos 4`pi`/3 = cos ( `pi` + `pi`/3 = `-` cos `pi`/3
sin 4`pi`/3 = sin ( `pi` + `pi`/3 = sin `pi`/3. .