SOLUTION: prove as an identity; sin(2x) = 2sin^3(x)cos(x) + 2sin(x)cos^3(x)

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Question 756974: prove as an identity;
sin(2x) = 2sin^3(x)cos(x) + 2sin(x)cos^3(x)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
prove as an identity;
sin(2x) = 2sin^3(x)cos(x) + 2sin(x)cos^3(x)
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start with RHS:
2sin^3(x)cos(x) + 2sin(x)cos^3(x)
2(sin(x)cos(x)(sin^2(x)+cos^2(x))
2(sin(x)cos(x)(1)
sin(2x)
verified: RHS=LHS