Question 1026399: 2sin^2(x)=sin(x)
Answer by addingup(3677)   (Show Source):
You can put this solution on YOUR website! 2sin^2(x) = sin(x)
2 sin^2(x)-sin(x) = 0
sin(x)(2sin(x)-1) = 0
sin(x) = 0 (1) or 2sin(x)-1 = 0 (2)
Solve (1):
x = pi*n_1 for n_1 element Z
Solve (2):
2sin(x)-1 = 0
2 sin(x) = 1
sin(x) = 1/2
Answers:
x = pi*n_1 for n_1 element Z
or x = (5pi)/6+2pi*n_2 for n_2 element Z, or you can do: x = pi/6+2pi*n_3 for n_3 element Z
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