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

Step-by-step explanation:

Given : The measure of angle θ is 600°.

To find : The point (x, y) corresponding to θ on the unit circle is ?

Solution :

We know, In the unit circle, the x and y coordinates are the cosine and sine ratios, respectively.

Now, We have given θ = 600°

1 circle= 360°

So, 600° corresponds to 600° - 360° = 240°.

i.e, θ =  360° + 240°

180° < 240° < 270° ⇒ the point is in the third quadrant i.e, x and y coordinates are negative.

Now, The supplementary angle to use notable angles:

240° - 180° = 60°

The sine and cosine of 60° are known:

In the unit circle the x-coordinate is the cosine of the angle, and the y-coordinate is the sine of the angle.

Therefore, The coordinates are.