How to differentiate tan^(-1)sqrt((1-cos2x)/(1+cos2x)) ?

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# tan^(-1)sqrt((1-cos2x)/(1+cos2x))#

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Answer 1 · 2018-06-13T09:49:17

# +-1#.

Let, #y=tan^-1{sqrt((1-cos2x)/(1+cos2x))}#.

#:. y=tan^-1sqrt((2sin^2x)/(2cos^2x))#

#=tan^-1|tanx|#.

#:. y=+-x#.

#:. dy/dx=+-1#.