i) `(sin^2theta+cos^4theta)=(cos^2theta+sin^4theta)`

Prove that : sin^(2)theta+cos^(4)theta=cos^(2)theta+sin^(4)theta

The value of theta lying between 0 and pi/2 and satisfying the equation |(1+cos^2theta, sin^2theta, 4sin4theta),(cos^2theta, 1+sin^2theta, 4sin4theta)(cos^2theta, sin^2theta, 1+4sin4theta)|=0 is (are)

If |{:(1+cos^(2)theta,sin^(2)theta,4cos6theta),(cos^(2)theta,1+sin^(2)theta,4cos6theta),(cos^(2)theta,sin^(2)theta,1+4cos6theta):}|=0 , and theta in (0,(pi)/(3)) , then value of theta is

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 : cos^3 2theta+3cos2theta=4(cos^6theta-sin^6 theta)

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

Prove that: sin4 theta=4 sin theta cos^(3)theta-4cos theta sin^(3)theta

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

Find the value of 6(sin^6theta+cos^6theta)-9(sin^4theta+cos^4theta)+4

Prove that 1+cos^2 2theta=2(cos^4theta+sin^4theta)