`("cosec " theta - sin theta ) ( sec theta - cos theta ) ( tan theta + cot theta ) =`

(csc theta - sin theta)(sec theta - cos theta)(tan theta+ cot theta)= A)1 B)0 C) -1 D) 2

( sec theta + tan theta )/("cosec " theta + cot theta ) -(sec theta - tan theta )/( " cosec" theta - cot theta )=

Prove each of the following identities : (i) ("cosec"theta + cot theta )/("cosec"theta - cot theta ) = ("cosec" theta + cot theta)^(2) = 1+2cot^(2) theta + 2"cosec" theta cot theta (ii) (sec theta + tan theta ) /( sec theta - tan theta) =(sec theta + tan theta )^(2) = 1+ 2tan^(2) theta + 2 sec theta tan theta

(sec theta+csc theta)^(2)-(tan theta+cot theta)^(2)=

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

Prove that (i) (1)/(("cosec" theta- cot theta ))=("cosec" theta + cot theta) (ii) ((sec theta - tan theta))/((sec theta + tan theta))=(1+ 2tan^(2) theta - 2 sec theta tan theta)

((sec theta + tan theta) (1- sin theta))/(cosec theta (1 + cos theta)(cosec theta - cot theta)) is equal to: ((sec theta + tan theta) (1- sin theta))/(cosec theta (1 + cos theta)(cosec theta - cot theta)) बराबर है :

Prove that (1+ cot theta + tan theta ) ( sin theta - cos theta) = (sec theta )/(cosec^(2) theta) - (cosec theta)/(sec^(2)theta) .

Prove that (sin theta- "cosec" theta )(cos theta- sec theta )=(1)/(tan theta + cot theta).

Prove that (sin theta- "cosec" theta )(cos theta- sec theta )=(1)/(tan theta + cot theta).