Question

Which of the following are solutions to the equation sinx cosx = 1/4? Check all that apply.

A. π/3+nπ/2
B. π/12+nπ
C. π/6+nπ/2
D. 5π/12+nπ ...?

Answer 1

B and D

Explanation:

sin x cos x = 1/4

Multiply both sides by 2:

2 sin x cos x = 1/2

Use double angle formula:

sin(2x) = 1/2

Solve:

2x = π/6 + 2nπ or 2x = 5π/6 + 2nπ

x = π/12 + nπ or x = 5π/12 + nπ