Completing Identity

Feb 2010
21
1
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?
 
Apr 2010
41
15
India
\(\displaystyle \frac{1-sinu}{cosu}+\frac{cosu}{1-sinu}\)
=\(\displaystyle \frac{1+sin^2u-2sinu+cos^2u}{cosu(1-sinu)}\)
\(\displaystyle =\frac{2(1-sinu)}{cosu(1-sinu)}\)
\(\displaystyle =2secu\)(Clapping)
 
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