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Show "tan"^(-1)1/2+"tan"^(-1)2/11+"tan"^...

Show `"tan"^(-1)1/2+"tan"^(-1)2/11+"tan"^(-1)4/3=pi/2`.

Text Solution

Verified by Experts

The correct Answer is:
`pi/2`
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Similar Questions

Explore conceptually related problems

Prove the following: "tan"^(-1)1/2+"tan"^(-1)2/11="tan"^(-1)3/4

Prove that 2"tan"^(-1)1/2+"tan"^(-1)1/7="tan"^(-1)31/17

Knowledge Check

  • 2 tan ^(-1)(-3)=

    A
    `-pi+tan ^(-1) (3)/(4)`
    B
    `tan ^(-1) (3)/(4)`
    C
    `pi+tan ^(-1)(-(4)/(3))`
    D
    `pi+tan ^(-1) (4)/(3)`
  • tan ^(-1) 1+tan ^(-1) 2+tan ^(-1) 3=

    A
    0
    B
    `(pi)/(2)`
    C
    `(pi)/(4)`
    D
    `pi`
  • Similar Questions

    Explore conceptually related problems

    Prove the following: "tan"^(-1)2/11+"tan"^(-1)7/24="tan"^(-1)1/2

    Prove that tan^(-1)1+tan^(-1)2+tan^(-1)3 =pi

    Solve tan^(-1)2x+tan^(-1)3x=(pi)/4

    Sovle tan^(-1)2x+tan^(-1)3x=(pi)/4

    Show that 2tan^(-1)(1/2) + tan^(-1)(1/7) = tan^(-1)(31/17)

    tan^(-1)("tan"(pi)/3)