Home
Class 12
MATHS
The sum of tan ^(-1) (1)/(2)+tan ^(-1) (...

The sum of `tan ^(-1) (1)/(2)+tan ^(-1) (1)/(8)+tan ^(-1) (1)/(18)+..` is

A

`(pi)/(2)`

B

`pi`

C

`(pi)/(3)`

D

`(pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|354 Videos

Similar Questions

Explore conceptually related problems

tan ^(-1) (1/11)+tan ^(-1)(2/12)=

The value of (tan^(-1) ((1)/(2)) + tan^(-1) ((1)/(3)))=

If tan ^(-1)(x+1)+tan ^(-1)(x-1)=tan ^(-1) (8)/(31) then x=

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

The value of tan (cos ^(-1) (3)/(5)+tan ^(-1) (1)/(4)) is

If 3 tan ^(-1)((1)/(2+sqrt(3)))-tan ^(-1) (1)/(x)=tan ^(-1) (1)/(3) then x=

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

The value of tan (cos ^(-1) (4)/(5)+tan ^(-1) (2)/(3)) is

HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If a gt b gt 0, then the value of tan^(-1)((a)/(b))+tan^(-1)((a+b)/(a-...

    Text Solution

    |

  2. The solution of tan^(-1)x + 2 cot^(-1)x = (2pi)/(3) is

    Text Solution

    |

  3. The sum of tan ^(-1) (1)/(2)+tan ^(-1) (1)/(8)+tan ^(-1) (1)/(18)+.. i...

    Text Solution

    |

  4. If x, y, z are all non zero and x^(2)+y^(2)+z^(2)=r^(2) then tan ^(-1)...

    Text Solution

    |

  5. "tan"1/2["sin"^(-1)(2x)/(1+x^(2))+"cos"^(-1)(1-y^(2))/(1+y^(2))]

    Text Solution

    |

  6. cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x, then sin x =

    Text Solution

    |

  7. The trigonometric equation sin^(-1) x=2 sin^(-1) a has a solution for ...

    Text Solution

    |

  8. Ifcos^(-1) x - cos ^(-1) (y)/(2) =alpha then 4x^(2) -4xy cos alpha+ ...

    Text Solution

    |

  9. If sin^(-1)(x)/(5)+cosec^(-1)(5)/(4)=(pi)/(2)then x=

    Text Solution

    |

  10. If x=sin^(-1) k, y=cos^(-1) k, -1 le k le 1, then the correct relation...

    Text Solution

    |

  11. If tan (cos ^(-1) x)=

    Text Solution

    |

  12. sin ^(-1) x=(pi)/(5), then cos ^(-1) x=

    Text Solution

    |

  13. If tan (cos ^(-1) x)=

    Text Solution

    |

  14. If sin^(-1) (x - (x^(2))/(2 ) + (x^(3))/(4)….)+cos^(-1)(x^2-x^4/2+x^6/...

    Text Solution

    |

  15. 3 sin ^(-1)((2 x)/(1+x^(2)))-4 cos ^(-1)((1-x^(2))/(1+x^(2))) +2 tan ...

    Text Solution

    |

  16. If tan ^(-1)(x+1)+tan ^(-1)(x-1)=tan ^(-1) (8)/(31) then x=

    Text Solution

    |

  17. If cos ^(-1)((3)/(5))-sin ^(-1)((4)/(5))=cos ^(-1) x, then x=

    Text Solution

    |

  18. tan ((1)/(2) cos ^(-1) 0)=

    Text Solution

    |

  19. If tan ^(-1) x+tan ^(-1) y+tan ^(-1) z=(pi)/(2), then 1-x y-y z-z x=

    Text Solution

    |

  20. The value of (tan^(-1) ((1)/(2)) + tan^(-1) ((1)/(3)))=

    Text Solution

    |