(6)(sin^(4)theta-cos^(4)theta+1)cosec^(2)theta=2

Prove that : (sin^(4)theta- cos^(4) theta+ 1) "cosec"^(2)theta=2

Prove that : (sin^(4)theta- cos^(4) theta+ 1) "cosec"^(2)theta=2

What is the value of (sin^(4)theta-cos^(4)theta+1)"cosec"^(2)theta ?

Prove each of the following identities : '(i) sin^(2)theta + cos^(4) theta = cos^(2) theta + sin^(4) theta (ii) "cosec"^(4) theta - "cosec"^(2) theta = cot^(4) theta + cot^(2) theta

The value of (2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta))/(cos^(4)theta-sin^(4)theta-2cos^(2)theta) is :

Evaluate : 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)+4(sin^(2)theta+cos^(2)theta)

If sin theta+sin ^(2) theta+sin ^(3) theta=1 then cos ^(6) theta-4 cos ^(4) theta+8 cos ^(2) theta=

|(4 sin^(2)theta, cos^(2) theta),(3 sec^(2)theta,cosec^(2)theta)|=

Prove the following identities: 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)+1=0sin^(6)theta+cos^(6)theta+3sin^(2)theta cos^(2)theta=1(sin^(8)theta-cos^(8)theta)=(sin^(2)theta-cos^(2)theta)(1-2sin^(2)theta cos^(2)theta)

If l cos^(2) theta + m sin^(2) theta = (cos^(2) theta ("cosec"^(2) theta+1)/("cosec"^(2) theta -1)) then what is the value of tan^(2) theta .