Question 142468
verify that each equation is an identity. 
1.1+sin2x=(sinx+cosx)^2 
1 + sin2x = sin^2x + 2sinxcosx + cos^2
1 + sin2x = sin^2x + cos^2x + 2sinxcosx
1 + 2sinxcosx = 1 + 2sinxcosx
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2.(cosxsinx)=(sin2x)/2 
Multiply both sides by 2 to get:
2sinxcosx = sin(2x)
2sinxcosx = 2sinxcosx
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Cheers,
Stan H.