`cot^(-1)((1+cosx)/(sinx))`

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tan^-1((1+cosx)/(sinx))

Find the derivative of tan^(-1)((sinx)/(1+cosx)) with respect to tan^(-1)((cosx)/(1+sinx))

Derivative fo tan^(-1)((sinx)/(1+cosx))w.r.t.tan^(-1)((cosx)/(1+sinx)) is

Find the derivative with tan^(-1)(sinx/(1+cosx)) with respect to tan^(-1)(cosx/(1+sinx)) .

cot^(-1)((cosx-sinx)/(cosx+sinx))

If 2y=(cot^(-1) ((sqrt3cosx+sinx)/(cosx-sqrt3sinx)))^2, x in (0,pi/2) then y' is equal to

Differentiate tan^(-1)((1+sinx)/(1-sinx))^(1/2) with respect to ((1+cosx)/(1-cosx)) .

The derivative of "tan"^(-1)(sinx)/(1+cosx) w.r.t. "tan"^(-1)(cosx)/(1+sinx) is :

Prove that : tan^(-1)((cosx)/(1-sinx))-cot^(-1)(sqrt((1+cosx)/(1-cosx)))=(pi)/(4), x in (0, pi//2) .