SOLUTION: Simplify cos^2 x sec^2 x -cos^2 x

SOLUTION: Simplify cos^2 x sec^2 x -cos^2 x

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Question 1108596: Simplify
cos^2 x sec^2 x -cos^2 x
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
This is cos^2 x(sec^2 x -1)
but sec^2 x-1 is (1/cos^2 x)-(cos^2 x/cos^2 x) or (1-cos^2x)/cos^2 x) or
sin^2 x/cos^2 x
Therefor, this is cos^2 x* sin^2 x/cos^2 x=sin^2 x
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