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The value of cot {sum(n=1)^(23)cot^(-...

The value of ` cot {sum_(n=1)^(23)cot^(-1)""(1+sum_(k-1)^(n)2k)}`is

A

`(23)/(25)`

B

`(25)/(23)`

C

`(23)/(24)`

D

`(24)/(23)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The value of cot(sum_(n=1)^(23)cot^-1(1+sum_(k=1)^n2k)) is

    A
    23/25
    B
    25/23
    C
    23/24
    D
    24/23

  • Value of 2 cot^(-1)""(1)/(2)-cot^(-1)""(4)/(3) is-

    A
    `-(pi)/(6)`
    B
    `(3pi)/(2)`
    C
    `(pi)/(4)`
    D
    `(pi)/(2)`

  • The values of 2cot^-1 (1/2)-cot^-1 (4/3) is

    A
    `-pi/8`
    B
    `(3pi)/2`
    C
    `pi/4`
    D
    `pi/2`

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