Question

What are the components of the vector between the origin and the polar coordinate `(-3, (7pi)/4)`?

Answer 1

Rectangular coordinates (Cartesian coordinates)

`color(green)(A_x = - 2.1213, A_y = 2.1213`

Explanation:

`A_x = r cos theta = -3 * cos (7pi)/4 = -2.1213`

`A_y = r sin theta = -3 * sin (7pi)/4 = 2.1213`

`tan theta = y / x = tan (7pi)/4 = -1`