`cos2 theta sec theta=1`

Prove the following identity : (sin theta+ sec theta)^2 +(cos theta+ cosec theta)^2= (1+ sec theta cosec theta)^2 .

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

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

Prove that : (sin^(2) theta)/(cos theta ) + cos theta = sec theta

Prove that : (sin^(2) theta)/(cos theta ) + cos theta = sec theta

If cos theta+sec theta=2 then cos^(n)theta+sec^(n)theta=2 .Find n=

(cos theta cosec theta-sin theta sec theta)/(cos theta+sin theta)=cosec theta-sec theta

cos ec theta(sec theta-1)-cot theta(1-cos theta)=tan theta-sin theta