Home
Class 12
MATHS
If underset(k = 1)overset(n)sumtan^(-1)...

If `underset(k = 1)overset(n)sumtan^(-1)((1)/(k^(2)+k+1))= tan^(-1)(theta) , " then " theta = `

A

`(n)/(n +2)`

B

`(n)/(n +1)`

C

1

D

`(n)/(n - 1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • AP EAMCET ENGINEERING ENTRANCE EXAM

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|59 Videos

  • AP EAMCET ENGINEERING ENTRANCE EXAM ONLINE QUESTION PAPER 2019 (SOLVED)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

Similar Questions

Explore conceptually related problems

theta=tan^(-1)(2tan^(2)theta)-tan^(-1)(1/3tantheta) if

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

(tan^2 theta)/(1 + tan^2 theta) =………...

|a|lt1,b=underset(k=1)overset(oo)Sigma(a^(k))/(k)impliesa=

Show that tan^2 theta - (1 / cos^2 theta) = -1

If "Tan"^(-1)1/(1+2)+"Tan"^(-1)1/(1+(2)(3))+"Tan"^(-1)1/(1+(3)(4))+..."Tan"^(-1)1/(1+n(n+1))=Tan^(-1)theta , then theta =

(tan^2theta)/(1+tan^2theta) = ……………..

If tan^(2) theta=1- k^(2) then sec theta+ tan^(3) theta "cosec" theta=

TS EAMCET PREVIOUS YEAR PAPERS-AP EAMCET ENGINEERING ENTRANCE EXAM ONLINE QUESTION PAPER 2019 (SOLVED)-Mathematics
  1. If x = (sin^(3)theta)/(cos^(2) theta)and y = (cos^(3) theta)/(sin^(2)t...

    Text Solution

    |

  2. If 4 (sin 2x sin 4 x + sin^(2) x) = 3 , then x =

    Text Solution

    |

  3. If underset(k = 1)overset(n)sumtan^(-1)((1)/(k^(2)+k+1))= tan^(-1)(th...

    Text Solution

    |

  4. e^((sec h ^(-1)""(1)/(2)+tan h^(-1)""(1)/(2)+sin h^(-1)""(1)/(2))=

    Text Solution

    |

  5. In Delta ABC if a: b: c = 3 : 5: 7 , then , cos A + cos B =

    Text Solution

    |

  6. If ABCD is a cyclic quadrilateral with AB = 6 , BC = 4, CD = 5, DA= 3...

    Text Solution

    |

  7. Let a triangle ABC be inscribed in a circle of radius 2 units. If the ...

    Text Solution

    |

  8. Let D and E be the midpoints of the sides AC and BC of a triangle AB...

    Text Solution

    |

  9. The vector equation of the plane passing through the points (1,-2,5) ,...

    Text Solution

    |

  10. The angle made by the vector 2 hat(i) - hat(j) + hat(k) with the plan...

    Text Solution

    |

  11. If a, b, c are non-zero , non-collinear vectors and a xx b = bxx c = ...

    Text Solution

    |

  12. If V = 2hat(i) +hat(j) - hat(k), W = hat(i) + 3 hat(k) and U is a uni...

    Text Solution

    |

  13. Assertion (A) : If a, b are two non collinear vectors, then the vector...

    Text Solution

    |

  14. The standard deviations of x(i) (i=1,2,. . . ,10) and y(i) (i=1, . . ...

    Text Solution

    |

  15. For a group of 100 students, the mean bar(x)(1) and the standard d...

    Text Solution

    |

  16. If two unbiased dice are rolled simultaneously unitl a sum of the numb...

    Text Solution

    |

  17. If A and B throw two dice 100 times each simultaneously, then the pro...

    Text Solution

    |

  18. The probabilities of having a defective toy in three cartons , A , B,...

    Text Solution

    |

  19. A die is thrown twice. If getting a number greater than four on the di...

    Text Solution

    |

  20. If X is a poisson variate such that 2P(X = 1) = 5P (X = 5)+(2P(X = 3...

    Text Solution

    |