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

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

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

sin^(6)theta+cos^(6)theta+3sin^(2)theta cos^(2)theta=1

What is the value of sin^6theta+cos^6theta+3sin^2thetacos^2theta-1 ?

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

If theta is any real number, find the value of the exprssion : sin^(6)theta + cos^(6)theta+3sin^(2)thetacos^(2)theta.

What is the value of sin^6 theta + cos^6 theta + 3sin^2 theta cos^2 theta ?

If sin^4 theta+cos^4 theta=l+3+ksin^2thetacos^2theta then

prove that- sin^2theta/cos^2theta+cos^2theta/sin^2theta=1/ (sin^2thetacos^2theta)-2

What is sin^(6)theta+cos^(6)theta+2sin^(2)thetacos^(2)theta equal to ?