Home
Class 12
MATHS
Value of tan^(-1)1/3+tan ^(-1)1/5+tan^(-...

Value of `tan^(-1)1/3+tan ^(-1)1/5+tan^(-1)1/7+tan^(-1)1/8` is

A

`(pi)/(4)`

B

`(3pi)/(4)`

C

`pi)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST PAPER -II

    MODERN PUBLICATION|Exercise SELECT CORRECT ANSWER|60 Videos
  • MOCK TEST PAPER -IV

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|60 Videos

Similar Questions

Explore conceptually related problems

tan ^(-1) 1+tan ^(-1) 2+tan ^(-1) 3=

Prove that tan^(-1)(1/5)+tan^(-1)(1/7)+tan^(-1)(1/3)+tan^(-1)(1/8)=(pi)/4

tan ^(-1) (1/3)+tan ^(-1) (1/5)+tan ^(-1) (1/7)=tan ^(-1) x, then x=

If tan^(-1)3+tan^(-1)x=tan^(-1)8 , then x=

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

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

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

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

Prove that : tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)=pi/4

MODERN PUBLICATION-MOCK TEST PAPER -III-SELECT THE CORRECT ANSWER
  1. Let f(k)(x)=(1)/(k)(sin^(k)x+cos^(k)x) where x in R and kge1then f(4)(...

    Text Solution

    |

  2. Let p be the proposition. Mathematics is interesting and let q be the ...

    Text Solution

    |

  3. Value of tan^(-1)1/3+tan ^(-1)1/5+tan^(-1)1/7+tan^(-1)1/8 is

    Text Solution

    |

  4. If tan^(-1)(sqrt(1+x^(2))-1)/(x)=4 then x equals

    Text Solution

    |

  5. The integral solution of tan^(-1)x+tan^(-1)(1)/(y)=tan^(-1)3 is

    Text Solution

    |

  6. If sin^(-1)x+cos^(-1)(1-x)=sin^(-1)(-x)then x satisfies

    Text Solution

    |

  7. The number of values of k for which the system of equations : (k+1)x...

    Text Solution

    |

  8. If alpha,betane0 and f(n)=alpha^(n)+beta^(n) and |(3,1+f(1),1+f(2)),...

    Text Solution

    |

  9. The set of all values of lambda for which the system of linear equatio...

    Text Solution

    |

  10. The inverse of the matrix A=[(2,0,0),(0,3,0),(0,0,4)] is

    Text Solution

    |

  11. If A= {:[(1,2),(0,1)]:} then A^(n) is

    Text Solution

    |

  12. If [(0,1),(1,0)] then A^(2) is equal to

    Text Solution

    |

  13. The function f(x) = [x] where [x] is the greatest integer function is ...

    Text Solution

    |

  14. f(x) = {:{(3x-8,"if"x le 5),(2k," if"x gt 5):}

    Text Solution

    |

  15. If x+y=tan^(-1)y and (d^(2)y)/(dx^(2))=f(y)(dy)/(dx) then f(y)=

    Text Solution

    |

  16. Let f(x) = cos^(-1) [(1)/(sqrt13) (2 cos x - 3 sin x)]. Then f(0.5) =

    Text Solution

    |

  17. If y=(1+x)(1+x^(2))(1+x^(4)), then (dy)/(dx) at x=1 is

    Text Solution

    |

  18. If y = (tan^(-1)x)^(2) then show that (x^(2) + 1)^(2) (d^2 y)/(dx^2) +...

    Text Solution

    |

  19. If the function f(x) defined by f(x)=(x^(100))/(100)+(x^(99))/(99)+....

    Text Solution

    |

  20. The maximum area of rectangle that can be inscribed in a circle of rad...

    Text Solution

    |