Question

What are the components of the vector between the origin and the polar coordinate `(3, (2pi)/3)`?

Answer 1

( `-`3/2, 3`sqrt`3 / 2)

Explanation:

The components are 3 cos`2pi`/3 and 3 sin `2pi`/3.
cos `2pi`.3 = cos ( `pi - 2pi`/3 ) = `-` cos ( `pi`/3)
sin `2pi`.3 = sin ( `pi - 2pi`/3 ) = sin ( `pi`/3)