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Simplify: tan^(-1)[(acosx-bsinx)/(b cosx...

Simplify: `tan^(-1)[(acosx-bsinx)/(b cosx+a sinx)]`

Text Solution

Verified by Experts

The correct Answer is:
`"tan"^(-1)(a/b)-x`
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Knowledge Check

  • int dx/(1-cosx -sinx) =

    A
    `log (1+cot (x/2)+c`
    B
    `log (1-tan (x/2)+c`
    C
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    D
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  • int_0^(pi/2) (cosx-sinx)/(1+sinx cosx) dx =

    A
    2
    B
    minus 2
    C
    minus 1
    D
    0

  • int (sinx-cosx)/(cosx+sinx)dx =

    A
    1/(sinx + cos x)+C
    B
    -log (sinx +cos x)+C
    C
    (log) 1/((sin x+cos x))+C
    D
    none of these

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