Home
Class 12
MATHS
Prove that tan^(-1) (1/4) + tan^(-1) (2...

Prove that `tan^(-1) (1/4) + tan^(-1) (2/9) = 1/2 sin^(-1) (4/5)`

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    XII BOARDS PREVIOUS YEAR|Exercise Section D 35 B|1 Videos

Similar Questions

Explore conceptually related problems

Prove that tan^-1(1/4)+ tan^-1(2/9) = 1/2sin^-1(4/5)

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

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

Prove the following: tan^(-1)(1/4)+tan^(-1)(2/9)=1/2cos^(-1)(3/5)=1/2sin^(-1)(4/5)

Prove that : tan^(-1)(1/2) + tan^(-1)(1/3) = tan^(-1)(3/5) + tan^(-1)(1/4) = pi/4

Prove that 2 tan^(-1) ((1)/(8)) + tan^(-1) ((1)/(7)) + 2 tan^(-1) ((1)/(5)) = (pi)/(4)

Prove that 2 tan^(-1) ((3)/(4)) = tan^(-1) ((24)/(7))

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

XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. Using the method of integration find the area of the triangle ABC, ...

    Text Solution

    |

  2. Find the points of intersection of the line vecr = 2hati - hatj + 2ha...

    Text Solution

    |

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

    Text Solution

    |

  4. The vectors 3 hat i- hat j +2 hat k', 2 hat i+hat j + 3 hat k and hat ...

    Text Solution

    |

  5. Find : int{(x^3 + 1)/(x^3-x)}dx

    Text Solution

    |

  6. If tan^(-1)(Y/X) = log (sqrt(X^2+Y^2)) , prove that (dy/dx) = ((X+Y)/(...

    Text Solution

    |

  7. Find the shortest distance between the lines vecr = 2hati - hatj + hat...

    Text Solution

    |

  8. Find: int((tan^(3)x)/(cos^(3)x)) dx

    Text Solution

    |

  9. Solve the following differential equation: (1+ e ^(y/x)) dy + e^(y...

    Text Solution

    |

  10. Find f'(x) if f(x) = tan x^(tan x)

    Text Solution

    |

  11. If y=e^acos^((-1)x),-1lt=x<1,s howt h a t (1-x^2)(d^2y)/(dx^2)-x(dy)/...

    Text Solution

    |

  12. If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)

    Text Solution

    |

  13. The area of the triangle formed by the vertices O, A, and B, where vec...

    Text Solution

    |

  14. If A = [(5, -1, 4), (2, 3, 5), (5, -2, 6)] , find A^(-1) and use it t...

    Text Solution

    |

  15. The vectors 3hati - hatj +2hatk, 2hati+hatj+3hatk and hati+lambdahatj-...

    Text Solution

    |

  16. A cottage industry manufactures pedestal lamps and wooden shades.Both ...

    Text Solution

    |

  17. If x, y, z are different and Delta=|[x, x^2, 1+x^3],[y, y^2, 1+y^3],[...

    Text Solution

    |

  18. Find the area of the triangle formed by O ,A ,B when vec O A= hat ...

    Text Solution

    |

  19. Prove that tan^-1(1/4)+ tan^-1(2/9) = 1/2sin^-1(4/5)

    Text Solution

    |

  20. check whether the relation R in the set N of natural numbers given by ...

    Text Solution

    |