" 32."cosec^(6)theta=cot^(6)theta+3cot^(2)theta cosec^(2)theta+1

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

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

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

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

Prove the following identity : cosec^6 theta- cot^6 theta =3 cot^2 theta cosec^2 theta+1 .

If cosec^(6) theta - cot^(6) theta = a cot^(4) theta + b cot^(2) theta + c then a+b+c=

Prove that cot^(4)theta+cot^(2)theta="cosec"^(4)theta-"cosec"^(2)theta

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

Prove the following identities: 1+3cosec^2thetacot^2theta+cot^6theta=cosec^6theta

The value of cosec ^(2) theta cot ^(2) theta - sec ^(2) theta tan ^(2) theta -(cot ^(2) theta- tan ^(2) theta) (sec ^(2) theta cosec ^(2) theta -1) is-