Prove that: `2s e c^2theta-s e c^4theta-2cos e c^2theta+cos e c^4theta=(1-t a n^8theta)/(t a n^4theta)`

Prove that: s e c^2theta+cos e c^2thetageq4 .

Prove: cos e c^2theta+sec^2theta=cos e c^2thetasec^2theta

Prove the following identity: 2sec^2theta-sec^4theta-2cosec^2theta+cos e c^4theta=cot^4theta-tan^4theta

Prove the following identities: 2sec^2theta-sec^4theta-2cos e c^2theta+cosec^4 theta=cot^4theta-tan^4theta

Prove: (sec^2theta-1)(cos e c^2theta-1)=1

Prove that sin^4theta-cos^4theta=sin^2theta-cos^2theta .

Prove: cos e c^6theta=cot^6theta+3cot^2thetacos e c^2theta+1

Prove: 1+(cot^2theta)/(1+cos e c\ theta)=cos e c\ theta

What is the value of (1-cos^2theta)cos e c^2theta ?

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