Home
Class 12
MATHS
sin^(-1) (sqrt(x/(x+a))) = tan^(-1)()....

`sin^(-1) (sqrt(x/(x+a))) = tan^(-1)`(______).

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • Inverse Circular Functions

    A DAS GUPTA|Exercise Exercise|45 Videos

  • Integrated Tests

    A DAS GUPTA|Exercise Exercise|23 Videos

  • Limit, Indetermine Form

    A DAS GUPTA|Exercise Exercise|64 Videos

Similar Questions

Explore conceptually related problems

If int sin^(-1) ( sqrt( (x)/(1 + x) ) )dx = A(x) tan^(-1) (sqrtx) + B(x) + C , where C is a constant of integration then the ordered pair (A(x) , B(x) ) can be :

If cot(sin^(-1)sqrt(1-x^(2)))=sin(tan^(-1)(x sqrt(6))),x!=, then possible value of x is

(1) / (2) cos ^ (- 1) x = sin ^ (- 1) sqrt ((1-x) / (2)) = cos ^ (- 1) sqrt ((1 + x) / (2 )) = (tan ^ (- 1) (sqrt (1-x ^ (2)))) / (1 + x)

If sin^(-1)((sqrt(x))/2)+sin^(-1)(sqrt(1-x/4))+tan^(-1)y=(2pi)/3 , then

If tan(sin^(-1)sqrt(1-x^2))=sin(tan^(-1)2) then x is

A DAS GUPTA-Inverse Circular Functions -Exercise
  1. find the value of sin(sin^(-1)a+cos^(-1)a)

    Text Solution

    |

  2. The numerical value of 2tan^(-1) (1/3) +tan^(-1) (1/7)=.

    Text Solution

    |

  3. sin^(-1) (sqrt(x/(x+a))) = tan^(-1)().

    Text Solution

    |

  4. The numerical value of 4(cot^(-1)3 + sin^(-1) 1/sqrt5) =.

    Text Solution

    |

  5. The numerical value of cos{tan^(-1)(-3) + cot^(-1)(-3)} =.

    Text Solution

    |

  6. The numerical value of sec^(2)(tan^(-1)2) + cosec^(2)(cot^(-1)3) =.

    Text Solution

    |

  7. 2sin^(-1) (sqrt(1-x)/2) = cos^(-1)().

    Text Solution

    |

  8. sin^(-1)(3x -4x^(3)) = lambda sin^(-1)x then lambda =.

    Text Solution

    |

  9. The numerical value of tan^(-1) 1+ tan^(-1)2 + tan^(-1)3 =.

    Text Solution

    |

  10. The numerical value of tan^(-1) 1+ tan^(-1) (1/2) + tan^(-1) (1/3) =.

    Text Solution

    |

  11. If x gt 1 then 2tan^(-1)x - tan^(-1) ((2x)/(1-x^(2))) =.

    Text Solution

    |

  12. cos^(-1) (63/65) + 2tan^(-1) (1/5)= sin^(1) ().

    Text Solution

    |

  13. The principal value of cos^(-1) (cos 7pi/6)= .

    Text Solution

    |

  14. The value of sin{tan^(-1) (tan ((7pi)/6) + cos^(-1)(cos ((7pi)/3))} is...

    Text Solution

    |

  15. sin[cot^(-1) {tan(cos^(-1)x)}] is equal to

    Text Solution

    |

  16. 2tan^(-1)x = tan^(-1) 2x/(1-x^(2)) is true if

    Text Solution

    |

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

    Text Solution

    |

  18. Prove that : cos^(-1).(3)/(5)+ cos^(-1).(12)/(13) = sin^(-1)((63)/(65...

    Text Solution

    |

  19. If x gt 1 then 1/2 cos^(-1) ((x^(2)-1) /(x^(2)+1)) = tan^(-1).

    Text Solution

    |

  20. If tan^(-1) 1/2 + tan^(-1) a = pi/4 then a = .

    Text Solution

    |