Home
Class 11
MATHS
The value of cot(sum(n=1)^(23)cot^-1(1+s...

The value of `cot(sum_(n=1)^(23)cot^-1(1+sum_(k=1)^n2k))` is

A

23/25

B

25/23

C

23/24

D

24/23

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|21 Videos

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

The value of cot {sum_(n=1)^(23)cot^(-1)""(1+sum_(k-1)^(n)2k)} is

Evaluate sum_(k=1)^11(2+3^k)

The value of sum_(r=1)^(n+1)(sum_(k=1)^n ^kC_(r-1)) (where r, k, n in N ) is equal to

The values of 2cot^-1 (1/2)-cot^-1 (4/3) is

The value of sum_(r=1)^n(sum_(p=0)^(r-1) ^nC_r ^rC_p 2^p) is equal to (a) 4^(n)-3^(n)+1 (b) 4^(n)-3^(n)-1 (c) 4^(n)-3^(n)+2 (d) 4^(n)-3^(n)

The value of sum_(r=1)^(n)(-1)^(r-1)((r )/(r+1))*^(n)C_(r ) is (a) 1/(n+1) (b) 1/n (c) 1/(n-1) (d) 0

The value of sum_(i=1)^nsum_(j=1)^isum_(k=1)^j1=220 , then the value of n equals a. 11 b. 12 c. 10 d. 9

The value of sum_(i-1)^nsum_(j=1)^isum_(k=1)^j1=286 , then the value of n equals

The value of sum_(r=1)^(n) (-1)^(r+1)(""^(n)C_(r))/(r+1) is equal to

The value of lim_(n to oo)sum_(r=1)^(n)(1)/(n)e^((r)/(n)) is -

PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. Solve: 2cos^2x+5cosx+2 ge 0

    Text Solution

    |

  2. Find the points of intersection of the curves y=cosx and y=sin3x if -p...

    Text Solution

    |

  3. Solve for x and y : 2^(1/cos^2x)sqrt(y^2-y+1//2) le 1

    Text Solution

    |

  4. Find the value of tan^-1(1/2tan2A)+tan^-1(cotA)+tan^-1(cot^3A), for 0 ...

    Text Solution

    |

  5. Solve: sin^-1x+sin^-1(1-x)=cos^-1x

    Text Solution

    |

  6. Prove that: tan^-1((c1x-y)/(c1y+x))+tan^-1((c2-c1)/(1+c2c1))+tan^-1((c...

    Text Solution

    |

  7. The value of 'a' for which ax^2 + sin^-1 (x^2 - 2x + 2) + cos^-1 (x^2 ...

    Text Solution

    |

  8. The number of distinct solutions of the equation 5/4cos^2 2x+cos^4x+si...

    Text Solution

    |

  9. If alpha=3sin^-1(6/(11)) and beta=3cos^-1(4/9), where the inverse trig...

    Text Solution

    |

  10. Let, tan^-1y=tan^-1x+tan^-1((2x)/(1-x^2)), where absx lt 1/sqrt3. Then...

    Text Solution

    |

  11. The number of real solutions of the equation (sinx-x)(cosx-x^2)=0 is

    Text Solution

    |

  12. The values of 2cot^-1 (1/2)-cot^-1 (4/3) is

    Text Solution

    |

  13. The number of distinct roots of abs((sinx, cosx, cosx),(cosx, sinx, co...

    Text Solution

    |

  14. The trigonometric equation sin^-1x=2sin^-1 2a has a real solution if

    Text Solution

    |

  15. Let alpha, beta be two distinct roots of acostheta+bsintheta=c, where ...

    Text Solution

    |

  16. If sin^-1(x/(13))+cosec^-1((13)/(12))=pi/2, then the value of x is

    Text Solution

    |

  17. The value of cot(sum(n=1)^(23)cot^-1(1+sum(k=1)^n2k)) is

    Text Solution

    |

  18. If sin^-1x+sin^-1y+sin^-1z=(3pi)/2, then the value of x^9+y^9+z^9-1/(x...

    Text Solution

    |

  19. Number of solutions of the equation tanx+secx=2cosx, x in [0, pi] is

    Text Solution

    |

  20. The solutions set of inequation cos^-1x lt sin^-1x is

    Text Solution

    |