Torw3addiMindlovebe Torw3addiMindlovebe

21-11-2016
Mathematics

Answered

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

Aπ/3+nπ/2
Bπ/12+nπ
Cπ/6+nπ/2
D5π/12+nπ ...?

Verified Answer :

Nirina7 Nirina7

23-11-2016

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

Answer Link

oscarestrella811 oscarestrella811

11-03-2020

Answer:

Its B and D.

Step-by-step explanation:

Answer Link

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