Eliminate `theta` from the following `a=sin^3thetacos^7theta, b=sin^4thetacos^5theta`

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

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

Eliminate theta from the following: x=4cos theta-5sin theta , y=4sin theta+5cos theta

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

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

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

Eliminate theta from the following.cos ec theta-sin theta=a^(3),sec theta-cos theta=b^(3)

Eliminate theta each of the following : cos^3 theta +3costhetasin^2 theta =x, sin^3 theta+3sin thetacos^2 theta=y

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

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