Home
Class 12
MATHS
cot^(-1)(2.1^(2))+cot^(1)(2.2^(2))+cot^(...

`cot^(-1)(2.1^(2))+cot^(1)(2.2^(2))+cot^(-1)(2.3)^(2)+…………` up to `oo` =

A

`(pi)/(5)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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

cot^(-1)(21) +cot^(-1)(13)+co^(-1)(8)=

cot(tan^(-1)a+cot^(-1)a)

cos^(-1) (cos (2 cot^(-1) (sqrt2 -1))) is equal to

sec ^(2)(tan ^(-1) 2)+cosec^(2)(cot ^(-1) 3)=

sec ^(2)(tan ^(-1) 2)+cosec^(2)(cot ^(-1) 3)=

cot ^(-1) 3+sec ^(-1) (sqrt(5))/(2)=

int_(-2)^(1) cot^(-1) (1/x) dx =

(d)/(dx ) [cos^(2) cot^(-1) sqrt((2+x)/(2-x))] is :

HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If u=cot ^(-1)(sqrt(cos theta))-tan ^(-1)(sqrt(cos theta)) then x=

    Text Solution

    |

  2. Sin^(-1) (x - (x^(2))/(2) + (x^(3)) /4+(-x^(4))/8) …....... + cos^(-1)...

    Text Solution

    |

  3. cot^(-1)(2.1^(2))+cot^(1)(2.2^(2))+cot^(-1)(2.3)^(2)+………… up to oo =

    Text Solution

    |

  4. If cos ^(-1) (x)/(2)+cos ^(-1) (y)/(3)=theta, then 9 x^(2)-12 x y cos ...

    Text Solution

    |

  5. cos [2"cos"^(-1) (1)/(5) + "sin"^(-1) (1)/(5)]=

    Text Solution

    |

  6. If f(x)=sin ^(-1)[(sqrt(3))/(2) x-(1)/(2) sqrt(1-x^(2))],-(1)/(2) le x...

    Text Solution

    |

  7. If sum(i=1)^(2 n) cos ^(-1) x(i)=0, then sum(i=1)^(2 pi) x(i)=

    Text Solution

    |

  8. The principal value of cos^(-1) {1/sqrt2 ("cos"(9pi)/10 - "sin"(9pi)/1...

    Text Solution

    |

  9. Principal valu of cos ^(-1)(-sin (7 pi)/(6)) is

    Text Solution

    |

  10. If sin(sin^(-1)((1)/(5))+cos^(-1)x)=1 then find the value of x.

    Text Solution

    |

  11. cot ^(-1) 3+sec ^(-1) (sqrt(5))/(2)=

    Text Solution

    |

  12. tan ^(-1) x gt cot ^(-1) x, holds for

    Text Solution

    |

  13. If a le tan ^(-1) x+cot ^(-1) x+sin ^(-1) x le b then

    Text Solution

    |

  14. If x(1)=2 tan ^(-1)((1+x)/(1-x)), x(2) m sin ^(-1)((1-x^(2))/(1+x^(2))...

    Text Solution

    |

  15. If (tan ^(-1) x)^(2)+(cot ^(-1) x)^(2)=(5 pi^(2))/(8), then x=

    Text Solution

    |

  16. The value of sin ^(-1)[cos (cos ^(-1)(cos x)+sin ^(-1)(sin x))] where...

    Text Solution

    |

  17. If -1ltxlt0, then sin ^(-1) x=

    Text Solution

    |

  18. sin ^(-1)[cot ((sin ^(-1) sqrt((2-sqrt(3))/(4)))+cos ^(-1) (sqrt(12))/...

    Text Solution

    |

  19. If x ge 1 then 2 tan ^(-1) x+sin ^(-1)((2 x)/(1+x^(2)))=

    Text Solution

    |

  20. The value of cos ^(-1) sqrt((2)/(3))-cos ^(-1) (sqrt(6)+1)/(2 sqrt(3))...

    Text Solution

    |