Prove: `tan^2thetacos^2theta=1-cos^2theta`

Prove :tan^(2)theta cos^(2)theta=1-cos^(2)theta

sin^4theta+2sin^2thetacos^2theta=1-cos^4 theta

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

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

Prove the following identity: (1/(sec^2theta-cos^2theta)+1/(cos e c^2theta-sin^2theta))sin^2thetacos^2theta=(1-sin^2thetacos^2theta)/(2+sin^2thetacos^2theta)

Prove the following identity: (1/(sec^2theta-cos^2theta)+1/(cos e c^2theta-sin^2theta))sin^2thetacos^2theta=(1-sin^2thetacos^2theta)/(2+sin^2thetacos^2theta)

Prove that (1/(sec^2theta-cos^2theta)+1/(cosec^2-sin^2theta))sin^2thetacos^2theta=(1-sin^2thetacos^2theta)/(2+sin^2thetacos^2theta

Prove that (sec^2theta-sin^2theta)/tan^2theta=cosec^2theta-cos^2theta .

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

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