Question

What are the components of the vector between the origin and the polar coordinate `(8, (11pi)/12)`?

Answer 1

Rectangular coordinates are `x = -7.7274, y = 2.0706`

Explanation:

Given Polar coordinates `(r,theta) - (8,(11pi)/12)`

To find rectangular coordinates `(x,y)`

`x = r cos theta = 8 * cos ((11pi)/12) = -7.7274`

`y = r sin theta = 8 * sin ((11pi)/12) = 2.0706`

`tan (y/x) tan theta = tan ((11pi)/12 )= -0.2679`