[" Prove the following identities."],[(cos theta)/(1-sec theta)+(Sec theta)/(1-cos theta)=1+cos theta+sec theta]

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

Prove the following identities: (sin theta)/(1-cos theta)+(tan theta)/(1+cos theta)=sec theta cos ect+cot theta

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

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

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

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

Prove : (cos theta)/(1+sin theta) + (cos theta)/(1-sin theta)= 2 sec theta

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

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