SOLUTION: Simplify the expression (1-sec theta)(1+sec theta)

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Question 981328: Simplify the expression (1-sec theta)(1+sec theta)
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Foiling them out, one gets f(x)=1-sec^2x


1-(1/cos^2x)=putting it over a common denominator
[cos^2x-1]/cos^2x; sin^2 x=(1-cos^2x);; sin^2x+cos^2x=1
Therefore, this is - (sin^2 x)(/cos^2 x)= - tan^2 x
Identity is tan^2x+1=sec^2 x
tan^2x=sec^2x-1
-tan^2x=1-sec^2x