Home
Class 12
MATHS
tan^-1(x/y)-tan^-1((x-y)/(x+y)) is equa...

`tan^-1(x/y)-tan^-1((x-y)/(x+y))` is equal to :

A

`pi/2`

B

`pi/3`

C

`pi/4`

D

`(-3pi)/4`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|279 Videos
  • INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|1126 Videos
  • LINEAR PROGRAMMING

    PRADEEP PUBLICATION|Exercise EXERCISE|135 Videos

Similar Questions

Explore conceptually related problems

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

("lim")_(xvecoo)"{"x+5")"tan^(-1)(x+5)-(x+1)tan^(-1)(x+1)} is equal to

The solution of (dy)/(dx)=((x-1)^2+(y-2)^2tan^(- 1)((y-2)/(x-1)))/((x y-2x-y+2)tan^(- 1)((y-2)/(x-1))) is equal to

If y=(tan^(-1)x)^(2) then (dy)/(dx) is equal to:

if y=sec(tan^(-1)x), then (dy)/dx is equal to

Write down the conditioni under which tan^-1 x + tan^-1 y = tan^-1 (x+y)/(1-xy), x, y in r .

If y = sec(tan^-1x) , then dy/dx at x =1 is equal to

Fill in the blanks: If y = 2 tan^-1 x + sin^-1 ((2x)/(1+x^2)) for all x, then ………… le y le …….

If y = tan^-1 (4x)/(1+5x^2) + tan^-1(2+3x)/(3-2x) , prove that dy/dx = 5/(1+25x^2)

PRADEEP PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. sin(tan^-1x), |x|<1 is equal to :

    Text Solution

    |

  2. If sin^-1(1-x) - 2sin^-1x = pi/2, then x is equal to :

    Text Solution

    |

  3. tan^-1(x/y)-tan^-1((x-y)/(x+y)) is equal to :

    Text Solution

    |

  4. Fill in the blanks: Domain of the function sin^-1 x is ……..

    Text Solution

    |

  5. Range of function cos^-1 x is :

    Text Solution

    |

  6. The principal value of tan^(-1)sqrt(3) is ............... .

    Text Solution

    |

  7. Find the value of sin^-1(sin (3pi/5))

    Text Solution

    |

  8. Fill in the blanks: Principal value of the function tan^-1 x lie in ...

    Text Solution

    |

  9. Fill in the blanks: tan^-1 1 + sin^-1 (-sqrt3/2) + cos^-1 (-sqrt3/2)...

    Text Solution

    |

  10. Principal value of cos^-1 (-1/2) is :

    Text Solution

    |

  11. Fill in the blanks: The value of cos^-1 (cos 14pi/3) is …………

    Text Solution

    |

  12. Fill in the blanks: The set of values of sec^-1 (1/2) is ……………

    Text Solution

    |

  13. Fill in the blanks: For x in R, tan^-1 (x^2 +1) + cot^-1 (x^2 +1) is...

    Text Solution

    |

  14. Fill in the blanks: If cos^-1 (-x) = alpha - cos^-1 x, then the valu...

    Text Solution

    |

  15. Fill in the blanks: For |x| ge sqrt2, sec^-1 sqrt(x^2 -1) + cosec^-1...

    Text Solution

    |

  16. Fill in the blanks: The value of cot^-1 (-x), for all x in R, in ter...

    Text Solution

    |

  17. Fill in the blanks: If cos(tan^-1 x + cot^-1 sqrt3) = 0, then value ...

    Text Solution

    |

  18. The value of cos (sin^-1 x + cos^-1 x) is equal to :

    Text Solution

    |

  19. Fill in the blanks: The value of the expression tan((sin^-1 x + cos^...

    Text Solution

    |

  20. Fill in the blanks: tan^-1(tan((4pi)/5)) is equal to ………….

    Text Solution

    |