If `tan (theta/2) = cosec theta- sin theta` then

What is the value of (tan theta cosec theta)^(2)- (sin theta sec theta)^(2) .

The value of (tan theta cosec theta)^(2) - (sin theta sec theta)^(2) is:

What is the value of (tan theta cosec theta)^(2)-(sin theta sec theta)^(2) (a) -1 (b) 0 (c) 1 (d) 2

What is the value of (tan theta "cosec" theta )^(2) -( sin theta sec theta) ^(2)

(cosec theta+sin theta)(cosec theta-sin theta)=cot^(2)theta+cos^(2)theta

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

Cosider the following : 1. tan ^(2) theta - sin ^(2) theta = tan ^(2) theta sin ^(2) theta 2. (cosec theta - sin theta ) (sec theta - cos theta ) (tan theta + cot theta ) =1 Which of the above is/are correct ?

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

Prove that (tan^(3) theta)/(1 + tan^(2) theta) + (cot^(3) theta)/(1+ cot^(2) theta) = sec theta cosec theta - 2 sin theta cos theta

Prove that : (tan^(3) theta)/(1+tan^(2)theta) +(cot^(3)theta)/(1+cot^(2)theta) = sec theta "cosec " theta - 2 sin theta cos theta .