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If y=tan^(-1)((1-cosx)/(sinx)), then (dy...

If `y=tan^(-1)((1-cosx)/(sinx)),` then `(dy)/(dx)` is

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

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

Knowledge Check

  • If y=tan^(-1)[(sinx+cosx)/(cosx-sinx)] then (dy)/(dx) is

    A
    `1/2`
    B
    `(pi)/4`
    C
    0
    D
    1

  • If y=tan^(-1)((sinx+cosx)/(cosx-sinx))," then "(dy)/(dx)" at "x=(pi)/(4)

    A
    `(1)/(2)`
    B
    0
    C
    1
    D
    2

  • If y = tan^(-1){(cos x)/(1 + sinx)} " then " (dy)/(dx) = ?

    A
    `(1)/(2)`
    B
    `(-1)/(2)`
    C
    1
    D
    `-1`

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