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(sec^(2)theta-sin^(2)theta)/(tan^(2)thet...

`(sec^(2)theta-sin^(2)theta)/(tan^(2)theta)=cosec^(2)theta-cos^(2)theta`

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Prove that (sec^2theta-sin^2theta)/tan^2theta=cosec^2theta-cos^2theta .

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Knowledge Check

  • |(4 sin^(2)theta, cos^(2) theta),(3 sec^(2)theta,cosec^(2)theta)|=

    A
    `8sin^(2) theta cos^(2) theta`
    B
    `4 sin 2 theta cos 2 theta`
    C
    1
    D
    `4 cos^(3)theta-3 cos theta`

  • The value of cosec ^(2) theta cot ^(2) theta - sec ^(2) theta tan ^(2) theta -(cot ^(2) theta- tan ^(2) theta) (sec ^(2) theta cosec ^(2) theta -1) is-

    A
    1
    B
    0
    C
    `-1`
    D
    2

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    f(theta)=sin^(2)theta+cos^(2)theta+tan^(2)theta+sec^(2)theta+csc^(2)theta+cot^(2)theta then the minimum value of f(theta) is

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