Evaluate :

`( Cosec^2theta )^2 + ( Cot^2theta )^2`

cosec^(2)theta=1+cot^(2)theta

cosec^2 theta - cot^2 theta = 1 +…..

cosec^(2)theta-cot^(2)theta-1

The value of (sec^2 theta(2+tan^2 theta +cot^2 theta) div (sin^2 theta-tan^2 theta))/((cosec^2 theta+sec^2 theta)(1+ cot^2 theta)^2) is: (sec^2 theta(2+tan^2 theta +cot^2 theta) div (sin^2 theta-tan^2 theta))/((cosec^2 theta+sec^2 theta)(1+ cot^2 theta)^2) का मान ज्ञात कीजिए?

Without expanding, find the value of |(cosec^(2)theta,cot^(2)theta,1),(cot^(2)theta,cosec^(2)theta,-1),(42,40,2)|

If cot theta= sqrt7 , then the value of (cosec^2 theta-sec^2 theta)/(cosec^2 theta+sec^2 theta) is: यदि cot theta= sqrt7 , है, तो (cosec^2 theta-sec^2 theta)/(cosec^2 theta+sec^2 theta) का मान क्या होगा ?

If Cot theta=sqrt6 , then the value of (cosec^2 theta+sec^2 theta)/(cosec^2 theta-sec^2 theta) is: यदि Cot theta=sqrt6 ,है, तो (cosec^2 theta+sec^2 theta)/(cosec^2 theta-sec^2 theta) का मान ज्ञात करें |

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 .