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

`tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))),absxx le 1/sqrt2`, is equal to

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

  • INVERSE TRIGONOMETRIC FUNCTIONS

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

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise TRY YOURSELF|21 Videos

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Try yourself|50 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - j|3 Videos

Similar Questions

Explore conceptually related problems

int(sqrt(1-x^(2))+sqrt(1+x^(2)))/(sqrt(1-x^(2))sqrt(1+x^(2)))dx=

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

tan^(-1)[(sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2)))],|x|<(1)/(2),x!=0

if tan^(-1){(sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1-x^(2)))}=alpha then

if tan^(-1){(sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1-x^(2)))}=alpha then

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

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

    Text Solution

    |

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

    Text Solution

    |

  3. If 0 < x <1, then sqrt(1+x^2)[{xcos(cot^-1x)+sin(cot^-1 x)}^2-1]^(1/2)...

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

    Text Solution

    |

  9. tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))),absxx le...

    Text Solution

    |

  10. If cos^(-1)(x/m)+cos^(-1)(y/n)=theta, then x^2/m^2-(2xy)/(mn)costheta+...

    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 the function given by f(x)=sqrt(sin^(-1)(2x)+pi/6) is

    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

    |