`(1+ cot theta - cosec theta) (1+ tan theta+ sec theta)=`

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Evaluate the following : (1 + tan theta + sec theta) (1 + cot theta - cosec theta)

( 1 + tan theta + sec theta ) ( 1 + cot theta - cosec theta ) =

Choose the coorect option. Justify choice : (1+ tan theta + sec theta)(1+ cot theta - cosec theta) =

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

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

(cosec theta -sin theta ) (sec theta - cos theta ) (tan theta + cot theta ) = 1.

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