Simplify `sin^(6)theta-cos^(6)theta+sin^(2)theta cos^(2)theta-sin^(2)theta cos^(2)theta`

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

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

Find the value of 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)-(sin^(2)theta+cos^(2)theta)^(2)

int(sin^(6)theta+cos^(6)theta)/(sin^(2)theta cos^(2)theta)d theta=

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

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

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

cos^(3)2 theta+3cos2 theta=4(cos^(6)theta-sin^(6)theta)

If cos theta+cos^(2)theta=1 then sin^(2)theta+2sin^(2)theta+sin^(2)theta=