Home
Class 12
MATHS
y=tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sq...

`y=tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))),w h e r e` -1

A

`1/2cos^(-1)x^2`

B

`pi/4-1/2cos^(-1)x^2`

C

`pi/4+1/2cos^(-1)x^2`

D

`pi/2-1/2cos^(-1)x^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - B)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))|36 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - C)(OBJECTIVE TYPE QUESTIONS (MORE THAN ONE OPTIONS ARE CORRECT))|13 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|21 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Section - j|3 Videos

Similar Questions

Explore conceptually related problems

y= tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))) , where -1 < x < 1 , find dy/dx

y= tan^(-1)(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2)) then dy/dx

If y=tan^(-1){(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))} , -1 < x < 1, x!= 0 . Find dy/dx .

If y=tan^(-1)((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))) find (dy)/(dx)

Differentiate tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))} with respect to cos^(-1)x^2

If tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}=alpha, then prove that x^2=sin2alpha

If tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}=alpha, then prove that x^2=sin2alpha

The value of tan^(-1)[(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))]=theta, |x|<1/2,x!=0 , is equal to:

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

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

AAKASH INSTITUTE ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))
  1. If sin^(-1)(x-(x^2)/2+(x^3)/4-ddot)+cos^(-1)(x^2-(x^4)/2+(x^6)/4)=pi/2...

    Text Solution

    |

  2. if tan^(-1)(1/x)+cos^(-1)(2/sqrt5)=pi/4 then x equals

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. If x1=cos^(-1)(3/5)+cos^(-1)((2sqrt2)/3)and x2=sin^(-1)(3/5)+sin^(-1)(...

    Text Solution

    |

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

    Text Solution

    |

  6. If 0 le x le 1 then cos^(-1)(2x^(2)-1) equals

    Text Solution

    |

  7. Express in terms of : sin^(-1)(2xsqrt(1-x^(2))) to sin^(-1)x for 1gexg...

    Text Solution

    |

  8. If sin^(-1)(5/x)+sin^(-1)((12)/x)=pi/2, then x is equal to 7/(13) (b)...

    Text Solution

    |

  9. y=tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))),w h e ...

    Text Solution

    |

  10. If cos^(-1)""x/a+cos^(-1)""y/b=theta, Prove that x^(2)/a^(2)-(2xy)/(ab...

    Text Solution

    |

  11. tan^(-1)(1/2)+tan^(-1)(1/3) is equal to

    Text Solution

    |

  12. cos(tan^(-1)3/4)+cos(tan^(-1)x) is equal to

    Text Solution

    |

  13. If cot^(-1)x+tan^(-1)(1/2)=pi/4 then x is

    Text Solution

    |

  14. The value of cos^(-1)(-1)+sin^(-1)(1) is

    Text Solution

    |

  15. If sin^(- 1)(3/x)+sin^(- 1)(4/x)=pi/2 then x=

    Text Solution

    |

  16. The domain of the function f(x)=cos^(-1)((2-absx)/4) is

    Text Solution

    |

  17. The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) ...

    Text Solution

    |

  18. tan^(-1)x-tan^(-1)y=tan^(-1)((x-y)/(1+xy)) holds good for

    Text Solution

    |

  19. If sin^(-1)x+sin^(-1)(1-x)+cos^(-1)x=0, then x is

    Text Solution

    |

  20. sin^(-1)(sinx)=x if

    Text Solution

    |