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Math Help - Trig Simplification

  1. #1
    Member rtblue's Avatar
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    Birmingham, Alabama.
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    Trig Simplification

    Hey guys, I need to simplify this:
    \displaystyle \frac{sinx+cosx+1}{sinx+cosx-1}

    The correct answer is \displaystyle cscxsecx+cscx+secx+1

    Can anyone give me any hints as to how to get from point A to point B?

    Thanks in advance!
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  2. #2
    MHF Contributor
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    I am delighted at the very liberal usage of the word "simplify". It would be nice if it had a clear meaning. Anyway...

    I'm tempted to "rationalize" the denominator.

    \frac{[\sin(x)+\cos(x)]+1}{[\sin(x)+\cos(x)]-1}\cdot\frac{[\sin(x)+\cos(x)]+1}{[\sin(x)+\cos(x)]+1}
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