Fill `1+cot^2theta=..........`

1+cot^(2)theta= ……

cosec^2 theta - cot^2 theta = 1 +…..

cos^(2)theta+1/(1+cot^(2)theta)=1

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 .

Prove each of the following identities : (tan^(2) theta)/((1+ tan^(2) theta)) + (cot^(2) theta)/((1+ cot^(2) theta)) =1

Solve 2 tan theta-cot theta=-1 .

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

The value of 1/(sin theta)-(cot^2 theta) /(1+cosec theta) is : 1/(sin theta)-(cot^2 theta) /(1+cosec theta) का मान है :

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

If cosectheta+cosec^(2)theta=1 , then what is the value of (cot^(12)theta-3cot^(10)theta+3cot^(8)theta-cot^(6)theta) ?