Question

What are the coordinates of the point where the terminal side of a 30° angle intersects the unit circle?

A) (1, 0)
B) (0.5, √3/2)
C) (√3/2, 0.5)
D) (0, 1)

Answer 1

The coordinates of the point where the terminal side of a 30° angle intersects the unit circle are (√3/2, 0.5), which corresponds to option C.

Step-by-step explanation:

The coordinates of the point where the terminal side of a 30° angle intersects the unit circle can be determined using the properties of the unit circle and trigonometric functions. For an angle of 30°, the coordinates on the unit circle are given by (cos 30°, sin 30°). The value of cos 30° is √3/2 and the value of sin 30° is 0.5. Therefore, the point of intersection of the terminal side of a 30° angle with the unit circle is (√3/2, 0.5).