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

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

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Prove that sin^4theta+cos^4theta=1-2sin^2thetacos^2theta .

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

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

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

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