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The value of cotsum(n=1)^(19)cot^(-1)(1+...

The value of `cotsum_(n=1)^(19)cot^(-1)(1+sum_(p=1)^(n)2p)` is equal to (a) `(21)/(19)` (b) `(19)/(21)` (c) `-(19)/(21)` (d) `-(21)/(19)`

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Similar Questions

Explore conceptually related problems

The value of cot sum_(n=1)^(19)(cot^(-1)(1+sum_(p=1)^(n)2p)) is equal to ( a )(21)/(19) (b) (19)/(21)(c)-(19)/(21) (d) -(21)/(19)

sqrt((0.361)/(0.00169))=?(1.9)/(13) (b) (19)/(13)(c)(1.9)/(130) (d) (190)/(13)

Knowledge Check

  • The value of cot(sum_(n=1)^(19)cot^(-1)(1+ sum_(p=1)^(n)2p)) is:

    A
    `20/19`
    B
    `19/21`
    C
    `21/19`
    D
    `19/20`

  • The value of cot(sum_(n=1)^(19)(1+ sum_(p=1)^(n) sum 2p)) is:

    A
    `22/23`
    B
    `23/22`
    C
    `21/19`
    D
    `19/21`

  • 19^(n) - 1 is

    A
    always divisible by 9
    B
    always divisible by 20
    C
    is never divisible by 19
    D
    only (a) and (c ) are true

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    Evaluate :(6)/(7)-2+(-7)/(9)+(19)/(21)

    The value of cos((pi)/(19))+cos((3 pi)/(19))+cos((5 pi)/(19))++cos((17 pi)/(19)) is (a) (1)/(2)(b)0(c)1 (d)none

    (14)/(19)xx(57)/(70)xx(20)/(21)=?

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