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Show : `2 sec^2 theta - sec^4 theta - 2 cosec^2 theta + cosec^4 theta = cot^4 theta - tan^4 theta`

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

If cot^4 theta+ cot^2 theta=3 then cosec^4 theta- cosec^2 theta = ?

Knowledge Check

  • The value of 2 sec^(2) theta - sec^(4) theta - 2 cosec^(2) theta + cosec^(4) theta is

    A
    `cot^(4) theta - tan^(4) theta`
    B
    `cot^(2) theta - tan^(2) theta`
    C
    `cot^(4) theta + tan^(4) theta`
    D
    `cos4 theta - tan 4 theta`

  • The value of 2 sec^(2) theta - sec^(4) theta - 2 cosec^(2)theta + cosec^(4) theta is

    A
    `cot^(4) theta - tan^(4) theta`
    B
    `cot^(4) theta - tan^(2) theta`
    C
    `cot^(4) theta + tan^(4) theta`
    D
    `cos 4 theta - tan 4 theta`

  • If x = sec theta - tan theta and y = cosec theta + cot theta , then

    A
    `xy +1 =x-y`
    B
    `xy +1 =y-x`
    C
    `xy +1 = x+y`
    D
    none of these

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    Prove that cot^4 theta+ cot^2 theta= cosec^4 theta-cosec^2 theta

    The value of tan^2 theta + cot^2 theta - sec^2 theta cosec^2 theta is equal to: tan^2 theta + cot^2 theta -sec^2 theta cosec^2 theta का मान निम्नलिखित में से किसके बराबर होगा?

    Prove that sec^(2) theta + cosec^(2) theta = sec^(2) theta * cosec^(2) theta

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    Prove that 2sec^(2)theta-sec^(4)theta-2csc^(2)theta+csc^(4)theta=(1-tan^(8)theta)/(tan^(4)theta)

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