" (cosec "theta-cot theta)^(2)=(1-cos theta)/(1+cos theta)

Prove the following identity,where the angles involved are acute angles for which the expressions are defined.(i) (csc theta-cot theta)^(2)=(1-cos theta)/(1+cos theta)

Consider the following: 1. sqrt((1-cos theta)/(1+cos theta)) = "cosec" theta -cot theta 2. sqrt((1+cos theta)/(1-cos theta))="cosec" theta +cot theta Which of the above is/are identity/ identities?

Prove that ( cot theta - cosec theta)^(2) = ( 1- cos theta )/( 1+ cos theta )

Prove that ((1+cos theta)/(cos theta))((1-cos theta)/(cos theta))cosec^(2)theta=sec^(2)theta

(1+cosec theta - cot theta)/(1+cosec theta + cot theta)=

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

The value of sqrt((cosec theta-cot theta)/(cosec theta+cot theta)) div (sin theta)/(1+cos theta) is equal to: sqrt((cosec theta-cot theta)/(cosec theta+cot theta)) div (sin theta)/(1+cos theta) का मान निम्नलिखित में से किसक बराबर है?

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

Prove that: ("cosec" theta + cot theta)/("cosec" theta - cot theta) = ("cosec" theta + cot theta )^(2) = 1 + 2 cot^(2) theta + 2 "cosec" theta cot theta .

(cot theta sec theta)^2-(cos theta. cosec theta)^2=1