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If n in N and cot^(-1)3 + cot^(-1)4 + co...

If `n in N` and `cot^(-1)3 + cot^(-1)4 + cot^(-1)5 + cot^(-1)n = pi//4`, then n is equal to …………….

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Prove that 2cot^(-1)5+ cot^(-1)7 + 2cot^(-1)8 =pi/4

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Knowledge Check

  • cot^(-1)(cot 4)=

    A
    4
    B
    `1/4`
    C
    `4-pi`
    D
    `pi-4`

  • If tan^(-1) x + tan^(-1) y = (4pi)/(5) , then cot^(-1) x + cot^(-1) y equal to

    A
    `(pi)/(5)`
    B
    `(2pi)/(5)`
    C
    `(3pi)/(5)`
    D
    `pi`

    • Similar Questions

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    2cot^(-1)5+cot^(-1)7+2cot^(-1)8=(pi)/(4)

    Prove that cot^(-1)(3)-cot^(-1)(4)=cot^(-1)(13)

    If x!=n and cot^(-1)x+cot^(-1)(n^(2)-x+1)=cot^(-1)(n-1) then x=

    If A = 1/1 cot ^(-1) (1/1) + 1/2 cot^(-1) (1/2) + 1/3 cot ^(-1) ( 1/3) " and " B = 1 cot^(-1) ( 1) + 2 cot^(-1) (2) + 3 cot^(-1) (3) " then " |B - A| " is equal to " (api)/b + c/d cot ^(-1) (3) where a,b,c,d in N are in their lowest form , find ( b -a - c - d)

    Prove that : cot^(-1) 3 + cot^(-1).(3)/(4) = cot^(-1) .(1)/(3)

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