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

Its B and D.

Explanation:

Answer 2

the solution is B. π/12+nπ

proof
sinx cosx = 1/4 is equivalent to 2 sinx cosx = 1/2 or sin2x =1/2
so 2x = arcsin(1/2) = π/6 + 2nπ, so x = π/12+nπ