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If the sum of the series cot^(-1)2+cot^(...

If the sum of the series `cot^(-1)2+cot^(-1)8+cot^(-1)18+…+cot^(-1)2n^(2)+…… " upto "infty " is "(kpi)/4` then the value of K is

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Find the value of the following cot^(-1)(1/2)+cot^(-1)(1/3)

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Knowledge Check

  • The value of cot[Cot^(-1)7+Cot^(-1)8+Cot^(-1)(18)] is

    A
    4
    B
    5
    C
    6
    D
    3

  • cot(pi/4-2Cot^(-1)3)=

    A
    3
    B
    5
    C
    7
    D
    9

  • cot((pi)/4-2cot^(-1)3)=

    A
    `3`
    B
    5
    C
    7
    D
    9

    • Similar Questions

    Explore conceptually related problems

    Cot^(-1)3+Cot^(-1)7+Cot^(-1)13+ ……n terms =

    Cot^(-1)(4/3)-Cot^(-1)(15/8)=

    If S_(n)=cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(13)+cot^(-1)(21)+….. n terms, then

    Sum of infinite terms of the series cot^(-1)(1^(2)+3/4)+cot^(-1)(2^(2)+3/4)+cot^(-1)(3^(2)+3/4)+….. is

    "tan"^(-1)2 + cot^(-1)(-3)+cot^(-1)""(1)/(3) + tan^(-1)(-(1)/(2)) =

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