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

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

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

If cosec^(2)theta+cot^(2)theta=(5)/(7) , then find the value of cosec^(4)theta-cot^(4)theta .

Statement 1: tan^(2)(sec^(-1)2)+cot^(2)(cosec^(-1)3)=11 . Statement -2 :tan^(2)theta+sec^(2)theta=1=cot^(2)theta+cosec^(2)theta

Solve cosec^(2)theta-cot^(2) theta=cos theta .

csc^(6)theta-cot^(6)theta=1+3csc^(2)theta cot^(2)theta

cosec^(4)theta+cot^(2)theta+cosec^(2)theta)"=

Without expanding show that: cosec theta,cot^(2)theta,1cot^(2)theta,csc^(2)theta,-142,40,2]|=0

cosec^(6)theta-cot^(6)theta-3cot^(2)theta.cosec^(2)theta=?

cosec^2 theta - cot^2 theta = 1 +…..