Home
Class 12
MATHS
Simplify : tan^(-1)((x)/(y))-tan^(-1)((x...

Simplify : `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

    PREMIERS PUBLISHERS|Exercise SOLVED TO EXERCISE 4.6|20 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE ( CHOOSE THE CORRECT ANSWER )|20 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    PREMIERS PUBLISHERS|Exercise SOLVED TO EXERCISE 4.4|6 Videos

  • DISCRETE MATHEMATICS

    PREMIERS PUBLISHERS|Exercise Problems For Practice|30 Videos

  • MODEL QUESTION PAPER - II

    PREMIERS PUBLISHERS|Exercise PART-IV|8 Videos

Similar Questions

Explore conceptually related problems

Prove that tan^(-1)((1-x)/(1+x))-tan^(-1)((1-y)/(1+y))=sin^(-1)((y-x)/(sqrt(1+x^(2))*sqrt(1+y^(2))))

Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

If x^2+y^2+z^2=r^2,t h e ntan^(-1)((x y)/(z r))+tan^(-1)((y z)/(x r))+tan^(-1)((x z)/(y r)) is equal to (a) pi (b) pi/2 (c) 0 (d) none of these

If x and y are positive integer satisfying tan^(-1)((1)/(x))+tan^(-1)((1)/(y))=(1)/(7) , then the number of ordered pairs of (x,y) is

f (x,y)=sin ^(-1) ((x)/(y)) + tan ^(-1) ((y)/(x)) is homogeneous function of degree:

If alpha=tan^(-1)((sqrt(3)x)/(2y-x)),beta=tan^(-1)((2x-y)/(sqrt(3y)))" then "alpha-beta=

tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y)) is (A) pi/2 (B) pi/3 (C) pi/4 (D) pi/4 or (3pi)/4

If y=btan^(-1)(x/a+tan^(-1)y/x) ,find (dy)/(dx)dot

PREMIERS PUBLISHERS-INVERSE TRIGONOMETRIC FUNCTIONS -SOLVED TO EXERCISE 4.5
  1. Find the value, it exists. If not give the reson for non-existence. ...

    Text Solution

    |

  2. Find the value, it exists. If not give the reson for non-existence. ...

    Text Solution

    |

  3. Find the value, it exists. If not give the reson for non-existence. ...

    Text Solution

    |

  4. Find the value of the expression in terms of x, with the help of a ref...

    Text Solution

    |

  5. Find the value of the expression in terms of x, with the help of a ref...

    Text Solution

    |

  6. Find the value of the expression in terms of x, with the help of a ref...

    Text Solution

    |

  7. Find the value of sin (pi/6 - sin^(-1) ((-sqrt(3))/2))

    Text Solution

    |

  8. Find the value of cot^(-1)(sin^(-1)""(3)/(5)+sin^(-1)""(4)/(5))

    Text Solution

    |

  9. Find the value of tan (sin^(-1)""(3)/(5)+cot^(-1)""(3)/(2))

    Text Solution

    |

  10. Prove thate tan^(-1)((2)/(11))+tan^(-1)((7)/(24))=tan^(-1)((1)/(2))

    Text Solution

    |

  11. Prove thate sin^(-1)((3)/(5))-cos^(-1)((12)/(13))=sin^(-1)((16)/(65)...

    Text Solution

    |

  12. Prove that tan^(-1)x+tan^(-1)y+tan^(-1)z=tan^(-1)((x+y+z-xyz)/(1-xy-yz...

    Text Solution

    |

  13. If tan^(-1)x+tan^(-1)y+tan^(-1)z=pi, show that x + y + z = xyz.

    Text Solution

    |

  14. Prove that tan^(-1)x+tan^(-1)""(2x)/(1-x^(2))=tan^(-1)((3x-x^(3))/(1-3...

    Text Solution

    |

  15. Simplify : tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)).

    Text Solution

    |

  16. Solve sin^(-1)((5)/(x))+sin^(-1)((12)/(x))=(pi)/(2)

    Text Solution

    |

  17. Solve 2tan^(-1)x=cos^(-1)""(1-a^(2))/(1+a^(2))-cos^(-1)""(1-b^(2))/(...

    Text Solution

    |

  18. Solve : 2 tan^(-1) (cos x ) = tan^(-1) (2 "cosec" x)

    Text Solution

    |

  19. Solve cot^(-1)x-cot^(-1)(x+2)=(pi)/(2),xgt0

    Text Solution

    |

  20. Find the number of solution of the eqution tan^(-1)(x-1)+tan^(-1)x+tan...

    Text Solution

    |