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Math Help - proving algibraicaly

  1. #1
    Junior Member
    Joined
    May 2005
    Posts
    25

    proving algibraicaly

    prove algebraically
    sinA + cosAcotA = cscA
    I tried this but I can only get this far and I am wondering how I am going wrong?

    sinA + cosAcotA = cscA
    sinA + cosA(cosA/sinA)
    sinA + cos^2A/sinA
    sinA + 1-sin^2A/sinA

    please help
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  2. #2
    Junior Member
    Joined
    May 2005
    Posts
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    sinA + cos^2A/sinA
    Taking the LCM

    Sin^2A + cos^2A= cosecA * Sin A

    But cosec A= I/sin A

    so sin^2A+ cos^2A= 1

    which we already know

    which means that the assumption you started off with is correct.
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