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Prove the identities sec^4 theta - sec^2...

Prove the identities `sec^4 theta - sec^2 theta = tan^4 theta + tan^2 theta`

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

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Knowledge Check

  • If 4 cos theta - 3 sec theta = 2 tan theta, then theta =

    A
    `n pi + (-1)^n pi//10`
    B
    `n pi + (-1)^n pi//6`
    C
    `n pi - (-1)^n 3pi //10`
    D
    `n pi`

    • Similar Questions

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

    Prove that: 2 sec^(2) theta - sec^(4) theta - 2 "cosec"^(2) theta = cot^(4) theta - tan^(4) theta .

    Prove that: (sec theta - cos theta)(cot theta + tan theta) = tan theta sec theta .

    Prove the identities: (1+cot theta-cos ec theta)(1+tan theta+sec theta)=2

    Prove that (sec4 theta-1)/(sec2 theta-1)=(tan4 theta)/(tan theta)

    Prove that sec theta + tan theta = tan (pi/4 + theta/2)

    Prove the following identities: (1)/(sec theta-tan theta)=sec theta+tan theta

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