Prove the identities: `(1+cot theta - cosec theta) (1+ tan theta + sec theta)=2`

Prove that: (1 + cot theta - "cosec" theta) (1+ tan theta + sec theta)=2

Prove the following identity: (1+cot theta-cos ec theta)(1+tan theta+sec theta)=2

Prove that (1+cot theta - "cosec" theta )(1+ tan theta +sec theta )=2.

Prove that (1+cot theta-cosec theta)(1+tan theta+sec theta)=2

The value of (1 + cot theta - cosec theta ) (1 + tan theta +sec theta) is

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

The identity (1+ tan theta - sec theta)(1+ cot theta - "cosec"theta) not equals

Prove the identity (tan theta+sec theta-1)/(tan theta-sec theta+1)=(1+sin theta)/(cos theta)

Prove that: sin theta(1+ tan theta) + cos theta (1+ cot theta) = sec theta + "cosec" theta