Home
Class 11
MATHS
"tan"^(-1)1/3+"tan"^(-1)1/7+……+tan^(-1)(...

`"tan"^(-1)1/3+"tan"^(-1)1/7+……+tan^(-1)(1/(n^(2)+n+1))=`

A

`tan^(-1)((2n-1)/(n+2))`

B

`tan^(-1)((2n)/(n+5))`

C

`tan^(-1)(1/(n+2))`

D

`tan^(-1)(n/(n+2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE I|31 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|7 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos

Similar Questions

Explore conceptually related problems

2"tan"^(-1)1/3+"tan"^(-1)1/7=

2"Tan"^(-1)1/3+"Tan"^(-1)1/7=

"tan"^(-1)1/8+"tan"^(-1)1/2+"tan"^(-1)1/5=

2"tan"^(-1)1/5+"tan"^(-1)1/7+2"tan"^(-1)1/8=

"Tan"^(-1)1/2+"Tan"^(-1)1/3=

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

"Tan"^(-1)3/2-"Tan"^(-1)1/5=

2"Tan"^(-1)1/5+"Tan"^(-1)1/7+2"Tan"^(-1)1/8=

tan^(-1)(3/2)-tan^(-1)(1/5)=

4"Tan"^(-1)1/5-"Tan"^(-1)1/70+"Tan"^(-1)1/99=

AAKASH SERIES-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE-II
  1. sin[cot^(-1)((2x)/(1-x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2)))]=

    Text Solution

    |

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

    Text Solution

    |

  3. "tan"^(-1)1/3+"tan"^(-1)1/7+……+tan^(-1)(1/(n^(2)+n+1))=

    Text Solution

    |

  4. Statement: I sin^(-1)x=x has only one solution Statement II: cos^(-1...

    Text Solution

    |

  5. The ascending order of A=cos("sin"^(-1)12/13), B=sin(2"Tan"^(-1)3/4)...

    Text Solution

    |

  6. If a,b,c, are positive then tan^(-1)sqrt((a(a+b+c))/(bc))+tan^(-1)sq...

    Text Solution

    |

  7. If tan^(-1)((3a^(2)x-x^(3))/(a^(3)-3ax^(2)))=k tan^(-1)(x/a) then k=

    Text Solution

    |

  8. If sec^(-1)(1/(sqrt(1-x^(2))))+cot^(-1)((sqrt(1-x^(2)))/x)=sin^(-1)(k)...

    Text Solution

    |

  9. If sin^(-1)x-cos^(-1)x=(pi)/6 then x=

    Text Solution

    |

  10. If sin^(-1)(x)-cos^(-1)(x)=sin^-1(x-1) then x=

    Text Solution

    |

  11. If sin^(-1)(x)+sin^(-1)(2x)=(pi)/3 then x=

    Text Solution

    |

  12. cos^(-1)(x//a)+cos^(-1)(y//b)=theta,then (x^(2))/(a^(2))-(2xy)/(ab)cos...

    Text Solution

    |

  13. If "Sec"^(-1)x/a-"Sec"^(-1)x/b="Sec"^(-1)b-Sec^(-1)a then x=

    Text Solution

    |

  14. If tan^(-1)(a//x)+tan^(-1)(b//x)=pi//2 then x=

    Text Solution

    |

  15. If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/4 then x=

    Text Solution

    |

  16. If tan^(-1)((x+1)/(x-1))+tan^(-1)((x-1)/x)=pi+tan^(-1)(-7), then x=

    Text Solution

    |

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

    Text Solution

    |

  18. If sin^(-1)((2x)/(x^(2)+1))+cos^(-1)((1-x^(2))/(x^(2)+1))=(pi)/3 then ...

    Text Solution

    |

  19. If cot^(-1)((1+x)/(1-x))=1/2cot^(-1)(1/x) then x=

    Text Solution

    |

  20. If cos(sin^(-1)sqrt(13/17))=sin(tan^(-1)x) then x=

    Text Solution

    |