[" Prove the following sub-fuestions "],[" (secot(oso)(sec "theta-cos theta)=tan^(2)theta+sin^(2)theta]

Prove: (sec theta+cos theta)(sec theta-cos theta)=tan^(2)theta+sin^(2)theta

Prove that (sec theta+cos theta) (sec theta-cos theta)=tan^(2) theta+sin^(2) theta

Prove the following identities: (tan theta-cot theta)/(sin theta cos theta)=sec^(2)theta-cos ec^(2)theta=tan^(2)theta-cot^(2)theta

Prove the following identities : sec^(2)theta-cos^(2)theta=sin^(2)theta(sec^(2)theta+1)

Prove the following identity : (sec theta-cos theta) (cosec theta-sin theta)=1/(tan theta+ cot theta) .

Prove the following identity : (1+cos theta)/(1-cos theta)= (tan^2 theta)/((sec theta-1)^2) .

Prove the following identity : (tan theta-cot theta)/ (sin theta cos theta)= sec^2 theta- cosec^2 theta .

Prove the following identities: (1-sin theta)/(1+sin theta)=(sec theta-tan theta)^(2)

Prove the following identity : (sin theta+ cos theta) (sec theta+ cosec theta) =2+ sec theta cosec theta .

Prove the following identities: (sec-tan theta)/(sec theta+tan theta)=1-2sec theta tan theta+2tan^(2)theta