SOLUTION: I could use some help with this question. I am prepping for my ACTs, but have really struggled with this question. I think just having the whole process of how to get the right ans

Question 829188: I could use some help with this question. I am prepping for my ACTs, but have really struggled with this question. I think just having the whole process of how to get the right answer would help.
I am given this expression:
I am told to first factor, then use the fundamental identities to determine which of the following values our expression is NOT equivalent to.
sin^2((pi/2)-a)
tan^(2)a
cos^(2)a
1/sec^(2)a
1-sin^(2)a
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
cot^2(x)-cot^2(x)*cos^2(x)
-----
Factor out the cot^2(x) to get:
= cot^2(x)[1 - cos^2(x)]
= [cos^2(x)/sin^2(x)][sin^2(x)]
= cos^2(x)
====================
I am told to first factor, then use the fundamental identities to determine which of the following values our expression is NOT equivalent to.
sin^2((pi/2)-x):::: yes
tan^(2)a::: not
cos^(2)x::: yes
1/sec^(2)x::: yes
1-sin^(2)x::: yes
-------------------------
Cheers,
Stan H.
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