SOLUTION: find all values of theta in the interval 0 theta 360 that satisfy the equation sin2x=sinx

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Question 697687: find all values of theta in the interval 0 theta 360 that satisfy the equation sin2x=sinx

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
sin2x=sinx
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sin2x - sinx = 0
2sinxcosx - sinx = 0
sin(x)*(2cosx - 1) = 0
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sinx = 0
x = 0, 180, 360
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2cosx = 1
cosx = 1/2
x = 60, 300