Using the unit circle, find the exact value of cos 150° and sin of 150°. (1 point)

Question

Cos(150) = -1/2 ; sin(150) = Square root3/2
Cos(150) = -Square root3/2 ; sin(150) = 1/2
Cos(150) = Square root3/2 ; sin(150) = -1/2
Cos(150) = 1/2 ; sin(150) = - Square root3/2
Explain How do you get the answer please?

Answer 1

To find the exact values of cos(150°) and sin(150°), we can use the unit circle.

1. First, locate the angle 150° on the unit circle. This angle is in the second quadrant, so the x-coordinate (cosine) will be negative and the y-coordinate (sine) will be positive.

2. The point on the unit circle corresponding to 150° is (-√3/2, 1/2). Therefore, cos(150°) = -√3/2 and sin(150°) = 1/2.

So the correct answer is:
Cos(150) = -√3/2 ; sin(150) = 1/2