How to simplify #(tan^2 theta csc^2 theta-1) / sec^2 theta#?

1 Answer
P dilip_k
May 15, 2018

#(tan^2 theta csc^2 theta-1) / sec^2 theta#

#=(tan^2 theta(1+ cot^2 theta)-1) / sec^2 theta#

#=(tan^2 theta+ tan^2thetacot^2 theta-1) / sec^2 theta#

#=(sin^2 theta/cos^2theta+ 1-1) / (1/cos^2 theta)#

#=sin^2 theta/cos^2thetaxxcos^2 theta#

#=sin^2theta#

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