[" 4.Prove the following identities."],[" (i) "sec^(6)theta=tan^(6)theta+3tan^(2)theta sec^(2)theta+1]

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Prove :sec^(6)theta=tan^(6)theta+3tan^(2)theta sec^(2)theta+1

Prove that following identities sec^(6)theta-tan^(6)theta-3tan^(2)thetasec^(2)theta=1

Prove that following identities sec^(6)theta=tan^(4)theta+3tan^(2)thetasec^(2)theta+1

Prove: sec^6theta=tan^6theta+3tan^2thetasec^2theta+1

Prove the following identity: sec^(4)theta-sec^(2)theta=tan^(4)theta+tan^(2)theta

Prove that following identities sec^(4)theta(1-sin^(4)theta)-2tan^(2)theta=1

Prove that following identities tan^(4)theta+tan^(2)theta=sec^(4)theta-sec^(2)theta

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Prove the following identity: sec^4theta-sec^2theta=tan^4theta+tan^2theta