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 : (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

(sin theta+sec theta)^(2)+(cos theta+cos ec theta)^(2)=(1+sec theta cos ec theta)^(2)

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

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