Home
Class 12
MATHS
Find the value of tan^(-1)(x/y)-tan^(-1)...

Find the value of `tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))`

Text Solution

Verified by Experts

The correct Answer is:
`pi/4`
Promotional Banner

Topper's Solved these Questions

  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 2 (b) (Long Answer Type Questions (II))|2 Videos

  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise Objective Type Questions (A. Multiple Choice Questions)|26 Videos

  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 2 (a) (Long Answer Type Questions )|3 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise Chapter Test|12 Videos

Similar Questions

Explore conceptually related problems

Formula for tan^(-1)(x)+-tan^(-1)(y)

Tan^(-1)((x)/(y))-Tan^(-1)((x-y)/(x+y)) is equal to

If x<0,\ y<0 such that x y=1 , then write the value of tan^(-1)x+tan^(-1)y .

Prove that tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)) is (pi)/(4) and Not(-3 pi)/(4)

If x + y + z = xyz and x, y, z gt 0 , then find the value of tan^(-1) x + tan^(-1) y + tan^(-1) z

If xgt0x,ygt0 and x gty then tan^(-1){(x)/(y)}+tan^(-1){(x+y)/(x-y)} is equal to

The result tan^(-1)x-tan^(-1)y = tan^(-1)((x-y)/(1+xy)) is true when the value of xy is "………."

tan^(-1)x+tan^(-1)y=pi+tan^(-1)((x+y)/(1-xy))

MODERN PUBLICATION-INVERSE - TRIGONOMETRIC FUNCTIONS-EXERCISE 2 (b) (Short Answer Type Questions)
  1. Find the value of : 4(2 tan^(-1) . 1/3 +tan^(-1). 1/7)

    Text Solution

    |

  2. Prove that :2tan^(-1)1/5+sec^(-1)(5sqrt(2))/7+2tan^(-1)\ 1/8=pi/4

    Text Solution

    |

  3. Find the value of tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))

    Text Solution

    |

  4. Prove that: cot^(-1)((ab+1)/(a-b))+cot^(-1)((bc+1)/(b-c))+cot^(-1)((ca...

    Text Solution

    |

  5. Find the value of tan { 1/2 sin^(-1) ((2x)/(1+x^(2))) + 1/2 cos^(-1...

    Text Solution

    |

  6. Prove that tan[pi/4+1/2cos^(-1)""a/b]+tan[pi/4-1/2cos^(-1)""a/b]=2b/a

    Text Solution

    |

  7. Solve tan^(-1)2x+tan^(-1)3x=pi/4.

    Text Solution

    |

  8. Solve tan^(-1) ((x+1)/(x-1)) + tan^(-1) ((x-1)/x) = tan^(-1)(-7)

    Text Solution

    |

  9. Solve : tan^(-1)(x-1)/(x-2)+tan^(-1)(x+1)/(x+2)=pi/4

    Text Solution

    |

  10. Solve sin^(-1) (1 - x) - 2 sin^(-1) x = (pi)/(2)

    Text Solution

    |

  11. Solve for x : 2tan^(-1)(sinx)=tan^(-1)(2secx),\ x!=pi/2

    Text Solution

    |

  12. Solve : 2 tan^(-1), (cos x) = tan^(-1), (2 cosec x)

    Text Solution

    |

  13. Solve the following equations : tan^(-1) (x+2) +tan^(-1) (x-2) = ta...

    Text Solution

    |

  14. Solve the following equations : tan^(-1) (x+1) +tan^(-1) (x-1) = ...

    Text Solution

    |

  15. Solve the following equations : tan^(-1) (x+2) +tan^(-1) (x-2) = ...

    Text Solution

    |

  16. If tan ^(-1) ((1-x)/(1+x))= (1)/(2) tan^(-1) x, x gt 0, then x = ?

    Text Solution

    |

  17. Solve the following equations : tan^(-1). (2x)/(1-x^(2)) +cos^(-1)....

    Text Solution

    |

  18. Solve the following equations : cos (tan^(-1) x ) = sin (cot^(-1)...

    Text Solution

    |

  19. If sin(cot^(-1)(x+1))=costan^(-1)x, then x=

    Text Solution

    |

  20. Solve the following equations : 2tan^(-1) (sin x) = tan^(-1) (2se...

    Text Solution

    |