`(1)/(sin^(2)theta-cos^(2)theta)=?`

1) sin^(2)theta=1-cos^(2)theta

If 1/(sin^(2)theta)-1/(cos^(2) theta)-1/(tan^(2)theta)-1/(cot^(2)theta)-1/(sec^(2)theta)-1/(cosec^(2)theta)=-3 then find the value of theta .

(8sec^(4)theta-8tan^(4)theta)/(4+8tan^(2)theta)-(2cos^(6)theta+2sin^(6)theta)/(1-3sin^(2)theta cos^(2)theta)

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

(2sin theta*cos theta-cos theta)/(1-sin theta+sin^(2)theta-cos^(2)theta)=cot 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)

Prove related problems - Type 1 -prove the following identities (1)sin^(8)theta-cos^(8)theta=(sin^(2)theta-cos^(2)theta)(1-2sin^(2)theta cos^(2)theta(2)cot^(2)theta+cot^(4)theta=cos ec^(4)theta-cos ec^(2)theta

The value of (8 sec^(4) theta- 8 tan^(4) theta)/( 4+8 tan^(2) theta )-(2 cos^(6)theta+2 sin^(6) theta )/(1-3 sin^(2) theta cos^(2) theta ) is ______

(1+sin2theta+cos2theta)/(1+sin2theta-cos2theta) =

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