Asked by Anonymous
                Simplify: cos x             cos x
----- + -----
sec x-1 sec x+1
            
        ----- + -----
sec x-1 sec x+1
Answers
                    Answered by
            Reiny
            
    is that 
cosx/(secx - 1) + cosx/(secx + 1) ???
of so, then using a common denominator , ...
(cosx(secx + 1) + cosx(secx - 1)) / (sec^2 x - 1)
= cosx(2secx)/tan^2x
= cosx(2/cosx) ( cos^2x/sin^2x
= 2cot^2 x
    
cosx/(secx - 1) + cosx/(secx + 1) ???
of so, then using a common denominator , ...
(cosx(secx + 1) + cosx(secx - 1)) / (sec^2 x - 1)
= cosx(2secx)/tan^2x
= cosx(2/cosx) ( cos^2x/sin^2x
= 2cot^2 x
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