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

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

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

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

Prove the following identities: tan^2theta+cot^2theta+2=sec^2thetacos e c^2theta

If theta=pi/(2^n+1) , prove that: 2^ncosthetacos2thetacos2^2thetacos2^(n-1)theta=1.

Prove that sin^(4)theta+sin^(2)thetacos^(2)theta=sin^(2)theta

Prove that sin^(4)theta+2sin^(2)thetacos^(2)theta+cos^(4)theta=1

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

Prove that: costhetacos(theta/2)-cos3thetacos((9theta)/2)=sin((7theta)/2)\ sin4thetadot