SOLUTION: verify that each equation is an identity. 1.1+sin2x=(sinx+cosx)^2 2.(cosxsinx)=(sin2x)/2 thank you for any help you can provide me with. Jat

Question 142468: verify that each equation is an identity.
1.1+sin2x=(sinx+cosx)^2
2.(cosxsinx)=(sin2x)/2
thank you for any help you can provide me with.
Jat
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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
====================================
2.(cosxsinx)=(sin2x)/2
Multiply both sides by 2 to get:
2sinxcosx = sin(2x)
2sinxcosx = 2sinxcosx
========================
Cheers,
Stan H.

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