What is the coordinate of point W in the unit circle?

Question

If the angle is 300° and has a radius of 11.

Answer 1

The underlying formula that you want to use here is

x-coordinate:

x=11⋅cos(300∘)=11⋅(0.5)=5.5

y-coordinate:

y=11⋅sin(300∘)≈11⋅(−0.8660)≈−9.5263

meaning that the coordinates of point W are (5.5, -9.5263).

Answer 2

This is a poorly stated problem.  In order to be on the unit circle, the radius must be exactly 1.  The point W is not on the unit circle.  The coordinates of W are

 

x = r cosθ = 11 cos300° = ?

 

y = r sinθ = 11 sin300° = ?