Why does \cot(2 \arctan (Ax))=\frac{1-(Ax)^2}{2Ax}

abreviatsjw 2022-01-16 Answered
Why does cot(2arctan(Ax))=1(Ax)22Ax
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Answers (2)

vicki331g8
Answered 2022-01-17 Author has 37 answers
We have the following fundamental trigonometric identity:
tan2t=2tant1tan2t
Take reciprocal on both sides:
1tan2t=1tan2t2tant
Now substitute t=arctanAx to get the identity in the question. (cotx1tanx)
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Jack Maxson
Answered 2022-01-18 Author has 25 answers
Use the fact that cotθ=1tanθ
And the double angle formula for tangent:
tan2θ=2tanθ1tan2θ
Lastly, before I confuse myself lets
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