Home
Class 12
MATHS
If a gt b gt 0, then the value of tan^(-...

If `a gt b gt 0`, then the value of `tan^(-1)((a)/(b))+tan^(-1)((a+b)/(a-b))` depends on

A

neither `a` nor `b`

B

`a` and not `b`

C

`b` and not `a`

D

both `a` and `b`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|354 Videos

Similar Questions

Explore conceptually related problems

The value of sec [tan ^(-1) (b+a)/(b-a)-tan ^(-1) (a)/(b)]

If tan ^(-1) ((a)/(x))+tan ^(-1) ((b)/(x))=(pi)/(2), then x=

If tan ^(-1) a^(3)+tan ^(-1) a=tan ^(-1) b, then b=

If ab = 2a + 3b, a gt 0, b gt 0 , then the minimum value of ab is

Solve for x:tan^(-1)((x)/(2))+tan^(-1)((x)/(3))=(pi)/(4), sqrt6gtx gt0 .

The value of tan ^(-1) sqrt((a lambda)/(b c))+tan ^(-1) sqrt((b lambda)/(c a))+tan ^(-1) sqrt((c lambda)/(a b)) where a, b, c in R^(+) and lambda=a+b+c is equal to

If tan (A+B)=p and tan (A-B)=q, then the value of tan 2 A is

Solve for x tan^(-1) ((1-x)/(1+x))=(1)/(2) tan^(-1)x, x gt 0

HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If tan^(-1) x + tan^(-1) y =(pi)/(4) then...

    Text Solution

    |

  2. If cos^(-1)x=alpha, (0 lt x lt 1) and sin^(-1)(2x sqrt(1-x^(2)))+sec^...

    Text Solution

    |

  3. If a gt b gt 0, then the value of tan^(-1)((a)/(b))+tan^(-1)((a+b)/(a-...

    Text Solution

    |

  4. The solution of tan^(-1)x + 2 cot^(-1)x = (2pi)/(3) is

    Text Solution

    |

  5. The sum of tan ^(-1) (1)/(2)+tan ^(-1) (1)/(8)+tan ^(-1) (1)/(18)+.. i...

    Text Solution

    |

  6. If x, y, z are all non zero and x^(2)+y^(2)+z^(2)=r^(2) then tan ^(-1)...

    Text Solution

    |

  7. "tan"1/2["sin"^(-1)(2x)/(1+x^(2))+"cos"^(-1)(1-y^(2))/(1+y^(2))]

    Text Solution

    |

  8. cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x, then sin x =

    Text Solution

    |

  9. The trigonometric equation sin^(-1) x=2 sin^(-1) a has a solution for ...

    Text Solution

    |

  10. Ifcos^(-1) x - cos ^(-1) (y)/(2) =alpha then 4x^(2) -4xy cos alpha+ ...

    Text Solution

    |

  11. If sin^(-1)(x)/(5)+cosec^(-1)(5)/(4)=(pi)/(2)then x=

    Text Solution

    |

  12. If x=sin^(-1) k, y=cos^(-1) k, -1 le k le 1, then the correct relation...

    Text Solution

    |

  13. If tan (cos ^(-1) x)=

    Text Solution

    |

  14. sin ^(-1) x=(pi)/(5), then cos ^(-1) x=

    Text Solution

    |

  15. If tan (cos ^(-1) x)=

    Text Solution

    |

  16. If sin^(-1) (x - (x^(2))/(2 ) + (x^(3))/(4)….)+cos^(-1)(x^2-x^4/2+x^6/...

    Text Solution

    |

  17. 3 sin ^(-1)((2 x)/(1+x^(2)))-4 cos ^(-1)((1-x^(2))/(1+x^(2))) +2 tan ...

    Text Solution

    |

  18. If tan ^(-1)(x+1)+tan ^(-1)(x-1)=tan ^(-1) (8)/(31) then x=

    Text Solution

    |

  19. If cos ^(-1)((3)/(5))-sin ^(-1)((4)/(5))=cos ^(-1) x, then x=

    Text Solution

    |

  20. tan ((1)/(2) cos ^(-1) 0)=

    Text Solution

    |