How do you verify the identity #sec^2theta(1-cos^2theta)=tan^2theta#?

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Answer 1 · 2016-10-12T17:05:28

see below

#sec^2theta(1-cos^2theta)=tan^2theta#

Left Side :#=sec^2theta(1-cos^2theta)#

#=sec^2thetasin^2theta#

#=1/cos^2theta * sin^2 theta#

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

#=tan^2theta#

#:.=# Right Side