Question

What are the components of the vector between the origin and the polar coordinate `(-3, (-7pi)/12)`?

Answer 1

`V_x = -3 * cos ((-7pi)/12) = color (blue)(0.7765)`

`V_y = - 3 * sin ((-7pi)/12) = color(blue)(2.8978`

Explanation:

Components of the vector `V_x, V_y`

We know, `V_x = r cos theta, V_y = r sin theta`

Given `r = -3, theta = (-7pi)/12`

`:. V_x = -3 * cos ((-7pi)/12) = color (blue)(0.7765)`

`V_y = - 3 * sin ((-7pi)/12) = color(blue)(2.8978`