Question

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

Answer 1

`color(brown)((x,y) = (-1, - sqrt3), " III Quadrant"`

Explanation:

`(r, theta) = (-2, (pi)/3)`

`x = r cos theta = -2 * cos ((pi)/3) = -1`

`y = r sin theta = -2 * sin ((pi)/3) ~~ -sqrt 3`