The measure of angle θ is 600°. the point (x, y) corresponding to θ on the unit circle is

Solution:

Given: θ = 600°

A unit circle has a radius of 1.

1 circle = 360°

Here,θ = 600°. Its coterminal angle is θ = 600°-360°= 240°

In the unit circle, the point (x,y) is equivalent to (cos θ, sin θ). 240 lies in quadrant III. Thus sine and cosine values are negative.

(x, y) = (cos 240° , sin 240°)

(x, y) = (-0.5 , -0.886)

Therefore, the point (x, y) is (-0.5, -0.886).

The measure of angle θ is 600°. the point (x, y) corresponding to θ on the unit circle is

Summary:

The measure of angle θ is 600°. The point (x, y) corresponding to θ on the unit circle is (-0.5, -0.886).