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Math Help - identity problem

  1. #1
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    Oct 2009
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    22

    identity problem

    i'm having trouble on this one.

    sec^3A-cos^3A/secA-cosA=2+cos^2A+tan^2A

    i expand the numerator and eliminate the (secA-cosA) and i get..

    sec^2A+secAcosA+cos^2A=2+cos^2A+tan^2A

    and then i make secAcosA= to 1 but then i get stuck, could someone help me with this please?
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  2. #2
    Newbie
    Joined
    Nov 2009
    Posts
    13
    Well,
    secēA+cosAsecA+cosēA=1/cosē+1+cosēA=(cosē+sinē)/cosē+1+cosēA=1+sinē/cosē+1+cosēA=2+tanēA+cosēA.
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