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.
