cot2x=1/2(cotx-tanx)

i just need to figure out how to solve this please help!
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1 Answer

This is an identity. Let t=tan(x), then tan(2x)=2t/(1-t2), cot(2x)=(1-t2)/(2t).

½(cot(x)-tan(x))=½(1/t-t)=½((1-t2)/t)=(1-t2)/(2t).

Therefore tan(2x)≡½(cot(x)-tan(x)) for all x.

by Top Rated User (1.2m points)

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