SOLUTION: Match the trigonometric expression cos^2 x(sec^2 x-1) to one of the following: a)cscx b)tanx c)sin^2x d)sinx tanx e)sec^2x f)sec^2x + tan^2x No idea how to do this. Ple

Question 535158: Match the trigonometric expression cos^2 x(sec^2 x-1)
to one of the following:
a)cscx
b)tanx
c)sin^2x
d)sinx tanx
e)sec^2x
f)sec^2x + tan^2x
No idea how to do this. Please help?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
cos^2 x(sec^2 x-1)
-------------
Change to sines and cosines. ALWAYS do that.
= cos^2*(1/cos^2 - 1)
= 1 - cos^2
= sin^2(x)
----------
Always start with that.
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