SOLUTION: verify: sin4x+2sin2xcos2x+cos4x=tanxcotx

Question 382048: verify: sin4x+2sin2xcos2x+cos4x=tanxcotx
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
I hope you meant instead of . I first thought it was the latter interpretation which is not true for all x, but then noticed that the first interpretation yielded a true identity, which I'll explain below:
First note that tan x cot x = 1 (given that tan x and cot x are nonzero). The expression
factors to

Since , and , both sides are equal to 1, and we are done.
Next time, I would encourage you to put the caret ("^") sign to denote an exponent, to make the question less ambiguous.
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