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

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 that sin^(4)theta-cos^(4)theta=sin^(2)theta-cos^(2)theta .

The value for 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta) +1 is

If sintheta+sin^2theta=1, then prove that cos^(12)theta+3cos^(10)theta+3cos^8theta+cos^6theta-1=0 Given that sintheta=1-sin^2theta=1-sin^2theta=cos^2theta

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

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

Prove : (1+sin2theta-cos2theta)/(1+sin2theta+cos2theta)=tantheta

Prove that: a) (sin2theta)/(1+cos2theta) = tantheta b) (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=cottheta

Prove that: (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=cot theta

If |(1+sin^2 theta,sin^2 theta,sin^2 theta),(cos^2 theta,1+cos^2 theta,cos^2 theta),(4sin 4 theta,4sin4theta,1+4sin4theta)|=0, then ... sin 4theta equal to ....