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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 ...?

Respuesta :

MathPhys

Answer:

B and D

Step-by-step 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

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