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

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 ______

Prove that sin^6theta+cos^6theta=1-3sin^2thetacos^2theta

Prove that sin^6theta+cos^6theta=1-3sin^2thetacos^2theta

sin^4theta+2sin^2thetacos^2theta=1-cos^4 theta

Prove that sin^6theta+cos^6theta=1-3sin^2thetacos^2theta .

If tan theta=(3)/(4), then (4sin^(2)theta-2cos^(2)theta)/(4sin^(2)theta+3cos^(2)theta)

If tan theta=(3)/(4), then (4sin^(2)theta-2cos^(2)theta)/(4sin^(2)theta+3cos^(2)theta)

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

Prove the following sin^6theta+cos^6theta=1-3sin^2thetacos^2theta

The value of sin^(8)theta+cos^(8)theta+sin^(6)theta cos^(2)theta+3sin^(4)theta cos^(2)theta+cos^(6)theta sin^(2)theta+3sin^(2)thetacos^(4)theta is equal to