How do you prove the identity? tan θ(tan θ+cot θ)=sec^2 θ
tan θ(tan θ+cot θ)=sec^2θ
tan θ(tan θ+cot θ)=sec^2θ
1 Answer
May 8, 2018
We have:
#sintheta/costheta(sintheta/costheta + costheta/sintheta) = 1/cos^2theta#
#sintheta/costheta((sin^2theta+ cos^2theta)/(costhetasintheta))= 1/cos^2theta#
#sintheta(1/(cos^2thetasintheta)) = 1/cos^2theta#
#1/cos^2theta = 1/cos^2theta#
As required.
Hopefully this helps!