Home
Class 12
MATHS
Solve for x , tan^(-1) ( x + 1) + tan^...

Solve for x ,
`tan^(-1) ( x + 1) + tan^(-1) x + tan^(-1) ( x - 1) = tan ^(-1) 3`

Text Solution

Verified by Experts

The correct Answer is:
`x=0,1/2,-1/2`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -I|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -II|7 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -2 (Level -II)|12 Videos

  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|6 Videos

  • LIMIT

    MOTION|Exercise EXERCISE-4|17 Videos

Similar Questions

Explore conceptually related problems

Solve: tan ^ (- 1) (x-1) + tan ^ (- 1) x + tan ^ (- 1) (x + 1) = tan ^ (- 1) 3x

Solve tan^(-1) x + sin^(-1) x = tan^(-1) 2x

tan ^ (- 1) ((x + 1) / (x-1)) + tan ^ (- 1) ((x-1) / (x)) = tan ^ (- 1) (- 7)

Prove that : 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x

Solve for x; tan^(-1)(1/2)+tan^(-1)2=tan^(-1)x

Solve tan^(-1) x + cot^(-1) (-|x|) = 2 tan^(-1) 6x

Solve for x : tan^(-1)(x/2)+tan^(-1)(x/3)=pi/4 , 0

Solve for x:tan^(-1)(x+1)+tan^(-1)(x-1)=tan^(-1)((8)/(31))

Solve for x : tan^(-1)(x+2)+tan^(-1)(x-2)=tan^(-1)(8/(79)) , x >0

MOTION-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise -3
  1. Solve sin^(-1)x+sin^(-1)2x=pi/3dot

    Text Solution

    |

  2. हल कीजिए : tan^(-1)((1)/(1+2x))+tan^(-1)((1)/(1+4x))=tan^(-1)""(2)/(...

    Text Solution

    |

  3. Solve for x , tan^(-1) ( x + 1) + tan^(-1) x + tan^(-1) ( x - 1) = t...

    Text Solution

    |

  4. Solution of equation cot^(-1) x + sin^(-1) . 1/sqrt5 = pi/4 is

    Text Solution

    |

  5. Solve for x: cos^(-1)((x^2-1)/(x^2+1))+1/2tan^(-1)((2x)/(1-x^2))=(2pi/...

    Text Solution

    |

  6. Solve the following equations/system of equations sin^(-1) x+sin^(-1...

    Text Solution

    |

  7. if cos^(-1)((1-a^2)/(1+a^2)) - cos^(-1)((1-b^2)/(1+b^2)) = 2tan^(-1)x ...

    Text Solution

    |

  8. Show that sin^(- 1)(sin(3pi)/7)+cos^(- 1)(cos(46pi)/7)+tan^-1(-tan(13p...

    Text Solution

    |

  9. Let the domain and range of inverse circular functions are defined as ...

    Text Solution

    |

  10. Solve sin^(-1) x gt -1

    Text Solution

    |

  11. Solve the following inequalities cos^(-1) x lt 2

    Text Solution

    |

  12. Solve the following inequality: cot^(-1)xlt -sqrt(3)

    Text Solution

    |

  13. Solve the inequality: (arc secx)^2-6(arc secx)+ 8> 0

    Text Solution

    |

  14. Solve the following inequality: arc cot^(2)x-5 at cotx+6gt0

    Text Solution

    |

  15. Solve the following inequalities arc sin x gt arc cos x

    Text Solution

    |

  16. Solve the following inequalities tan^(2) (arc sin x)gt 1

    Text Solution

    |

  17. Solve the following system of inequations: 4(tan^(-1)x)^2-8tan^(-1)x+3...

    Text Solution

    |

  18. Solve for x : sin^(- 1)(sin((2x^2+4)/(1+x^2)))lt pi-3

    Text Solution

    |

  19. The sum of the infinte series sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(2)-1)...

    Text Solution

    |

  20. Find the sum of the series :(tan^- 1)1/3+(tan^- 1)2/9+....+(tan^- 1)(2...

    Text Solution

    |