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

Prove the following: sin^4theta+cos^4theta=1-2sin^2thetacos^2theta

Prove the following : (sin theta -cos theta + 1)/(sin theta + cos theta - 1) = (1)/ (sec theta - tan theta)

Prove the following: sin^8theta-cos^8theta=(sin^2theta-cos^2theta)(1-2sin^2thetacos^2theta)

Prove the following: (frac(sin^3theta+cos^3theta)(sintheta+costheta))+(frac(sin^3theta-cos^3theta)(sintheta-costheta))=2

Prove the following: sin^4theta+2sin^2thetacos^2theta=1-Cos^4theta

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

Select and write the correct answer from the given alternatives in each of the following: The value of sin^6theta+cos^6theta+3sin^2theta.cos^2theta is

|(sin^2theta,cos^2theta),(cos^2theta,sin^2theta)|=

Find the value of 6(sin^6theta+cos^6theta)-9(sin^4theta+cos^4theta)+4 ............ A) -3 B) 0 C) 1 D) 3