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The value of x where xgt0andtan(Sec^(-1)...

The value of x where `xgt0andtan(Sec^(-1)(1/x))=sin(Tan^(-1)2)` is

Text Solution

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The correct Answer is:
`x=(sqrt(5))/3`
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Knowledge Check

  • The value of x where x gt 0 and tan(Sec^(-1)(1/x))=sin(Tan^(-1)2) is

    A
    `sqrt(5)`
    B
    `sqrt(5)//3`
    C
    1
    D
    `2//3`

  • The value of x where x gt0 and tan("sec"^(-1)1/x)=sin(tan^(-1)2) is

    A
    `sqrt(5)`
    B
    `(sqrt(5))/3`
    C
    `1`
    D
    `2/3`

  • The value of x , where x > 0 and tan (sec^(-1)(1/x))=sin(tan^(-1)(2)) is

    A
    `sqrt5`
    B
    `sqrt5/3`
    C
    `1`
    D
    `2/3`

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