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 ...?

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asked May 25, 2017 152k views

2 Answers

Tommy Lacroix · Answer 1 · 2017-05-30T03:22:02+0000

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