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1/2tan(alpha/2)+1/4tan(alpha/4)+1/8tan(a...

`1/2tan(alpha/2)+1/4tan(alpha/4)+1/8tan(alpha/8)....1/2^ntan(alpha/2^n) +cotalpha`

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The value of tan alpha +2tan(2alpha)+4tan(4alpha)+...+2^(n-1)tan(2^(n-1)alpha)+2^ncot(2^nalpha) is

The value of tanalpha+2tan(2alpha)+4tan(4alpha)+...+2^(n-1)tan(2^(n-1)alpha)+2^(n)cot(2^(n)alpha) is

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prove that : tan(alpha)+2 tan(2alpha) +4(tan4alpha)+8cot(8alpha) = cot(alpha)

[[1,-tan((alpha)/(2))tan((alpha)/(2)),1]][[1,-tan((alpha)/(2))tan((alpha)/(2)),1]]