SOLUTION: solve this problem algaebraically 12. sin2xsinx=cosx

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Question 174476: solve this problem algaebraically 12. sin2xsinx=cosx
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
sin2xsinx=cosx
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sin(2x)sin(x) = cos(x)
Use sin(2x) = 2sin(x)cos(x)
2sin(x)cos(x)sin(x) = cos(x)
2sin%5E2%28x%29+=+1
sin%5E2%28x%29+=+1%2F2
sin%28x%29+=+sqrt%282%29%2F2
x = 45º, 135º