Question

Which is equivalent to 1/2? Select all that apply.

A. cos 45°
B. sin 45°
C. tan 45°
D. sin 30°
E. tan 30°
F. cos 60°

Answer 1

sin 30° (Option D) and cos 60° (Option F) are the only trigonometric functions equivalent to 1/2 among the options provided.

Step-by-step explanation:

The question asks for all the trigonometric function values that are equivalent to 1/2. We need to recall the exact values of the sine, cosine, and tangent functions for special angles.

B. sin 45° - Sine of 45 degrees is not 1/2; it's √2/2, which is approximately 0.707.

D. sin 30° - Sine of 30 degrees, which is also known as the sine of π/6 radians, is exactly 1/2.

F. cos 60° - Cosine of 60 degrees, or π/3 radians, is also 1/2.

Therefore, the only trigonometric functions equivalent to 1/2 in the options provided are sin 30° and cos 60°.