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The value of tan[1/2cos^(-1).sqrt5/3] is...

The value of `tan[1/2cos^(-1).sqrt5/3]` is

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Find the value of tan ( 1/2 cos ^(-1) . sqrt5/3)

The value of tan[(1)/(2)cos^(-1)((sqrt(5))/(3))] is :

Knowledge Check

  • The value of tan[1/2 cos^(-1) sqrt5/3]=

    A
    `1/2(3-sqrt5)`
    B
    `1/2(3+sqrt5)`
    C
    `3+sqrt5`
    D
    none

  • The value of sin[2"cos"^(-1)sqrt5/3] is

    A
    `sqrt5/3`
    B
    `(2sqrt5)/3`
    C
    `(4sqrt5)/9`
    D
    `(2sqrt5)/9`

  • The value of tan[(1)/(2)cos^(-1)((sqrt5)/(3))] is

    A
    `(3+sqrt5)/(2)`
    B
    `(3-sqrt5)/(2)`
    C
    `(-3+sqrt5)/(2)`
    D
    `(-3-sqrt5)/(2)`

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