How do you simplify the expression $sec^2theta/(sec^2theta-1)$ ?

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Answer 1 · 2016-10-05T14:54:57

$sec^2theta/(sec^2theta-1)=csc^2theta$

$sec^2theta/(sec^2theta-1)$

= $sec^2theta/(sec^2theta-1)xxcos^2theta/cos^2theta$

= $(sec^2thetaxxcos^2theta)/(sec^2thetaxxcos^2theta-cos^2theta)$

= $1/(1-cos^2theta)$

= $1/sin^2theta$

= $csc^2theta$

How do you simplify the expression sec^2theta/(sec^2theta-1)sec^2theta/(sec^2theta-1)?