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calculus

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Verify the identity:
cos x -cox x/1-tan x = sin x cos x/sin x -cos x

  • calculus - ,

    LS = cosx = cosx/(1 - sinx/cosx))
    = cosx - cosx/(cosx - sinx)/cosx) )
    = cosx - cosx (cosx)/(cosx - sinx)
    = cosx + cos^2 x /(sinx - cosx)
    = (sinxcosx - cos^2 x + cos^2 x)/(sinx - cosx)
    = sinxcosx/(sinx - cosx)
    = RS

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