SOLUTION: Verify the following identitie. (1-cos^2 y+sin^2 y)^2+4 sin^2 y cos^2 y = 4 sin^2 y

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Question 401828: Verify the following identitie.
(1-cos^2 y+sin^2 y)^2+4 sin^2 y cos^2 y = 4 sin^2 y
Answer by lwsshak3(11628) About Me  (Show Source):
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Verify the following identitie.
(1-cos^2 y+sin^2 y)^2+4 sin^2 y cos^2 y = 4 sin^2 y
..
start with the left-hand side
(sin^2+sin^2)^2+4sin^2cos^2
=(2sin^2)^2+4sin^2cos^2
=4sin^4+4sin^2cos^2
=4sin^2(sin^2+cos^2)
=4sin^2*(1)
=4sin^2
solution: left-hand side=right-hand side