Question

The product of sin 30° and sin 60° is the same as the product of ___ and ___.

a. sin 60°, sin 30°
b. sin 30°, cos 60°
c. cos 30°, sin 60°
d. cos 60°, cos 30°

Answer 1

The product of sin 30° and sin 60° is the same as the product of sin 30° and cos 60°, which corresponds to option (b).

Step-by-step explanation:

The product of sin 30° and sin 60° is equivalent to the product of sin 30° and cos 30°. This is because sin 60° is the same as cos 30°. Therefore, the correct answer is option (b) sin 30°, cos 60°.

Knowing the values of sine and cosine for common angles such as 30° and 60° is essential for solving trigonometric problems. Sin 30° equals 1/2 and cos 30° also equals √3/2, which is the same as sin 60°. Therefore, multiplying sin 30° by sin 60° is identical to multiplying sin 30° by cos 30°.