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Math Help - Completing Identity

  1. #1
    Newbie
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    Completing Identity

    Find an expression that completes the identity:

    (1-sin u)/ (cos u) + (cos u)/(1-sin u) =

    can someone show me steps to getting 2sec u?
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  2. #2
    Junior Member slovakiamaths's Avatar
    Joined
    Apr 2010
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    India
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    \frac{1-sinu}{cosu}+\frac{cosu}{1-sinu}
    = \frac{1+sin^2u-2sinu+cos^2u}{cosu(1-sinu)}
    =\frac{2(1-sinu)}{cosu(1-sinu)}
    =2secu
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