Using the unit circle, find the exact value of cos 150° and sin of 150°.(1 point) show steps
To find the exact value of cos 150° and sin 150°, we will use the unit circle.
First, let's identify the point on the unit circle corresponding to 150°.
Since 150° is in the second quadrant, it lies on the unit circle at an angle of 30° with the x-axis.
The point on the unit circle corresponding to 30° has coordinates (sqrt(3)/2, 1/2).
Now, since 150° is the supplementary angle of 30°, the coordinates of the point corresponding to 150° are (-sqrt(3)/2, 1/2).
Therefore, cos 150° = -sqrt(3)/2 and sin 150° = 1/2.