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Posted by on Wednesday, May 2, 2012 at 11:46am.

Verify the identity:

(tanx+1)/(secx+cscx) = sinx

  • calculus - , Wednesday, May 2, 2012 at 12:06pm

    multiply through by sec+csc to get

    tan+1 = sin(sec+csc)
    = sinsec + sincsc
    = tan + 1

  • calculus - , Wednesday, May 2, 2012 at 12:07pm

    LS= (sinx/cosx + 1)/(1/cosx + 1/sinx)
    = [(sinx + cosx)/cosx] / [ (sinx + cosx)/(sinxcosx)]
    = (sinx+ cosx)/cosx * (sinxcosx)/(sinx+cosx)
    = sinxcosx/cosx
    = sinx
    = RS

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