how do i verify
cos^2x-1/cos^2x-cosx = secx +1

Question

how do i verify 
cos^2x-1/cos^2x-cosx = secx +1

anonymous · Answer

can you put some parenthesis in please to clarify the problem? :D

anonymous · Answer

sure
(cos^2x) - 1 
------------       = sec x +1 
(cos^2 x)-cos x

anonymous · Answer

ok the numerator breaks down into (cosx-1)(cosx+1) 
                                                       ---------------
 the denominator breaks down into cosx(cosx-1)

so you cancel and you have (cosx+1)/cosx
    -or-
cosx   +   1
----       ----
cosx        cosx

aka 1+ secx

kainui · Answer

x^2-1 factors out to be (x+1)(x-1) and x^2-x can factor out an x and become x(x-1).

Here we see (x-1) factors out leaving you with x+1/x which is the same as 1+1/x

Also, I substituted in cosx=x

kainui · Answer

Check for yourself that (cosx+1)(cosx-1) by using FOIL that it equals cos^2x-1.

anonymous · Answer

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