Question

What are the components of the vector between the origin and the polar coordinate `(-5, (11pi)/6)`?

Answer 1

`(5sqrt(3)/2, 5/2)`.

Explanation:

We know that the radial distance is `5`.

Because of the minus sign, we simply go in the opposite direction of the given angle, namely `pi/6`.

Thus, using a bit of trigonometry, we get the following:
`(5cos(pi/6), 5sin(pi/6))`.

Evaluating that, is simply just:
`(5sqrt(3)/2, 5/2)`.