SOLUTION: verify that (sinx+cosx)^2 =1+sin2x. show all of your steps clearly?

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Question 232312: verify that (sinx+cosx)^2 =1+sin2x. show all of your steps clearly?
Answer by chibisan(131) About Me  (Show Source):
You can put this solution on YOUR website!
verify (sinx+cosx)^2 =1+sin2x
L.H.S
(sinx+cosx)^2
(sin^2x + 2sinxcosx + cos^2x)

Since sin^2x + cos^2x =1
and 2sinxcosx = sin2x (double angle)

1 + sin2x (verified)