SOLUTION: How do you solve 1-sinx=cos2x

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Question 885227: How do you solve 1-sinx=cos2x
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
How do you solve
1-sinx=cos2x
***
for interval:[0,π/2]
1-sinx=cos2x
1-sinx=cos%5E2%28x%29-sin%5E2%28x%29
1-sinx=1-sin%5E2%28x%29-sin%5E2%28x%29
1-sinx=1-2sin%5E2%28x%29
2sin%5E2%28x%29-sinx=0
sin%28x%29%282sinx-1%29=0
..
sinx=0
x=0
..
2sinx-1=0
sinx=1/2
x=π/6