Question

What are the components of the vector between the origin and the polar coordinate `(2, pi/12)`?

Answer 1

`vec V ((1.93),(0.52)), tan theta = 0.27`

Explanation:

`r = 2, theta = pi/12`

`x = r cos theta = 2 * cos (pi/12) = color(red)(1.93`

`y = r sin theta = 2 * sin (pi/12) = color (purple)(0.52)`

`tan theta = y / x = = tan (pi/12) = 0.27`