Home
Class 11
MATHS
Solve the following equations "Tan"^(-...

Solve the following equations
`"Tan"^(-1)(x-1)/(x-2)+"Tan"^(-1)(x+1)/(x+2)=(pi)/4`

Text Solution

Verified by Experts

The correct Answer is:
`+-1/(sqrt(2))`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|7 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE I|31 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE 7.1 (VERY SHORT ANSWER QUESTIONS)|32 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|7 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos

Similar Questions

Explore conceptually related problems

Solve the following equations : "tan"^(-1)(1-x)/(1+x)=1/2tan^(-1)x,(xgt0)

Solve the following equations : tan^(-1)(x/y)-"tan"^(-1)(x-y)/(x+y) is equal to

If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/4 then x=

Solve the following equations : sin^(-1)(1-x)-2sin^(-1)x=(pi)/2 then x is equal to

If Tan^(-1)((x-1)/(x-2))+Cot^(-1)((x+2)/(x+1))=pi/4 , then x =

AAKASH SERIES-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 7.1 ( SHORT ANSWER QUESTIONS)
  1. If Cos^(-1)p+Cos^(-1)q+Cos^(-1)r = pi then, P.T. p^(2)+q^(2)+r^(2) = 2...

    Text Solution

    |

  2. If Sin^(-1)x+Sin^(-1)y+Sin^(-1)z=pi then prove that n xsqrt(1-x^(2))+y...

    Text Solution

    |

  3. If Tan^(-1)x+Tan^(-1)y + Tan^(-1)z = (pi)/2, then prove that xy + yz +...

    Text Solution

    |

  4. If Tan^(-1)x+Tan^(-1)y + Tan^(-1)z = (pi)/2, then prove that xy + yz +...

    Text Solution

    |

  5. tan[2Tan^(-1)((sqrt(1+x^(2))-1)/x)]=

    Text Solution

    |

  6. Prove that sin[Cot^(-1) (2x)/(1-x^2)+Cos^(-1)((1-x^(2))/(1+x^(2)))]=1.

    Text Solution

    |

  7. If Cos^(-1)p+Cos^(-1)q+Cos^(-1)r = pi then, P.T. p^(2)+q^(2)+r^(2) = 2...

    Text Solution

    |

  8. Id a,b,c are distinct non-zero real numbers having the same sign. Prov...

    Text Solution

    |

  9. solve the following equations cos(2sin^(-1)x)=1/9

    Text Solution

    |

  10. solve the following equations tan(arc"cos"1/x)=sin(arc"cot"1/2),x!=0

    Text Solution

    |

  11. If "Cos"^(-1)3/5-"Sin"^(-1)4/5=Cos^(-1)x then x =

    Text Solution

    |

  12. If "Sin"^(-1)5/x+"Sin"^(-1)12/x=pi/2, then x =

    Text Solution

    |

  13. solve the following equations sin^(-1)x+sin^(-1)2x=(pi)/3

    Text Solution

    |

  14. Solve the following equations : sin^(-1)(1-x)-2sin^(-1)x=(pi)/2 the...

    Text Solution

    |

  15. solve the following equations Cot^(-1)((1+x)/(1-x))=1/2Cot^(-1)(1/x)...

    Text Solution

    |

  16. solve the following equations Cos^(-1) (sqrt(3).x)+Cos^(-1)(x)=(pi)/...

    Text Solution

    |

  17. If Sin^(-1)x-Cos^(-1)x = (pi)/6 then find x.

    Text Solution

    |

  18. Solve 3Sin^(-1)((2x)/(1+x^(2))) - 4 Cos^(-1)((1-x^(2))/(1+x^(2)))+2Tan...

    Text Solution

    |

  19. Solve the following equations "Tan"^(-1)(x-1)/(x-2)+"Tan"^(-1)(x+1)/...

    Text Solution

    |

  20. If Sin^(-1)(2p)/(1+p^(2)) - Cos^(-1)((1-q^(2))/(1+q^(2))) = Tan^(-1) (...

    Text Solution

    |