Home
Class 12
MATHS
The sum of the infinite terms of the ser...

The sum of the infinite terms of the series `cot^(-1)(1^2+3/4)+cot^(-1)(2^2+3/4)+cot^(-1)(3^2+3/4)+...+oo` is equal to a.`tan^(-1)(1)` b. `tan^(-1)\ \ (2)` c.`tan^(-1)2\ ` d. `(3pi)/4-tan^(-1)3`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Sum to infinite terms the series: cot^-1(1^2+ 3/4)+cot^-1 (2^2+3/4)+cot^-1 (3^2+3/4)+….

Sum of infinite terms of the series cot^(-1) ( 1^(2) + 3/4) + cot^(-1) ( 2^(2) + 3/4) + cot^(-1) ( 3^(2) + 3/4) + ... is

The sum to infinite terms of the series cot^(-1)(2^(2)+(1)/(2))+cot^(-1)(2^(3)+(1)/(2^(2)))+cot^(-1)(2^(4)+(1)/(2^(3)))+

The sum of the infinite terms of the series "tan"^(-1)((1)/(3))+ "tan"^(-1)((2)/(9)) + tan^(-1)((4)/(33)) + .... is equal to (pi)/(n) The value of n is:

cot[csc^(-1)(5/3) + tan^(-1)(2/3)] = ....

Prove that tan^(-1) 2 + tan^(-1) 3 = (3pi)/4

The sum to infinite terms of the series tan^(-1)((2)/(1-1^(2)+1^(4)))+tan^(-1)((4)/(1-2^(2)+2^(4)))+tan^(-1)((6)/(1-3^(2)+3^(4)))+

"tan"^(-1)((1)/(3))+ "tan"^(-1)((2)/(9)) + tan^(-1)((4)/(3^(3))) + ....oo is equal to

cot(cosec ^(-1)(5/3) + tan^(-1)(2/3))=

ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Solution set of the inequality sin^(-1)(sin((2x^2+3)/(x^2+1)))lt=pi-5/...

    Text Solution

    |

  2. Consider two geometric progressions a1,a2,a3,......a0 & b1, b2, b3,......

    Text Solution

    |

  3. The sum of the infinite terms of the series cot^(-1)(1^2+3/4)+cot^(-1)...

    Text Solution

    |

  4. If the numerical value of tan{cos^-1(4/5)+tan^-1(2/3)} is a/bthen

    Text Solution

    |

  5. The value of cos[1/2cos^(-1)(cos(-(14pi)/5))]\ is/are a.cos(-(7pi)/...

    Text Solution

    |

  6. Prove that: tan^-1(1/4)+tan^-1(2/9)=1/2 cos^-1(3/5).

    Text Solution

    |

  7. sin^(-1)(3x)/5+sin^(-1)(4x)/5=sin^(-1)x , then roots of the equatio...

    Text Solution

    |

  8. sin^(-1)(sin(33pi)/7)\

    Text Solution

    |

  9. cos^(-1)(cos(46pi)/7)

    Text Solution

    |

  10. tan^(-1)(tan((-33pi)/7))

    Text Solution

    |

  11. cot^(-1)(cot((-46 pi)/7))

    Text Solution

    |

  12. Find value of Sin ( tan^(-1) x)

    Text Solution

    |

  13. Evaluate: sin(cot^(-1)x) (ii) cos(tan^(-1)x)

    Text Solution

    |

  14. sin(cot^(-1)(tan(tan^(-1)x))),"x" in (0," 1]

    Text Solution

    |

  15. x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k, the possible value...

    Text Solution

    |

  16. x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k, the possible value...

    Text Solution

    |

  17. x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k, the possible value...

    Text Solution

    |

  18. Statement I is True: Statement II is True; Statement II is a correct ...

    Text Solution

    |

  19. Statement I is True: Statement II is True; Statement II is a correct e...

    Text Solution

    |

  20. Statement I is True: Statement II is True; Statement II is a correct ...

    Text Solution

    |