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Prove that (sinx-cosx+1)/(sinx+cos-1)=se...

Prove that `(sinx-cosx+1)/(sinx+cos-1)=secx+tanx`.

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To prove that \[ \frac{\sin x - \cos x + 1}{\sin x + \cos x - 1} = \sec x + \tan x, \] we will start by simplifying the left-hand side (LHS). ...
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Knowledge Check

  • int(secx)/(sinx+cosx)dx=

    A
    `log(sinx-cosx)+c`
    B
    `log(1+tanx)+c`
    C
    `log(1+cotx)+c`
    D
    `log(1-cotx)+c`

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