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

`tan^(-1) ((cosx - sinx)/(cosx + sinx))`, 0<`x`<`pi`

Answer

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

Differentiate tan^(-1)((a cosx-b sinx)/(b cosx + a sinx)) w.r.t. x.

Knowledge Check

  • int tan^(-1)((cosx-sin x)/(cosx+sinx))dx is equal to

    A
    `pi/4 x-x^2/2+C`
    B
    `pi/4 x + x^3/3+C`
    C
    `pi/5 x- x^2/2+C`
    D
    None of these

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

    cosx-sinx=-1

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