SOLUTION: Verify the identity (sinx + cosx)^2=1 + sin2x

Question 333085: Verify the identity (sinx + cosx)^2=1 + sin2x
Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
Verify the identity
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1. Expand the left hand side of the equation

2. simplify this result

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now you need to utilize the property of Sin(a+b)=sin(a)*cos(b)+sin(b)*cos(a)
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Sin(2x)=sin(x+x)=sin(x)cos(x)+sin(x)*cos(x) = 2*sin(x)*cos(x)
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therefore
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