Torw3addiMindlovebe Torw3addiMindlovebe
  • 21-11-2016
  • Mathematics
contestada

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 :

Nirina7
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 oscarestrella811
  • 12-03-2020

Answer:

Its B and D.

Step-by-step explanation:

Answer Link

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