Home
Class 12
MATHS
The solution set of equation sin^(-1) sq...

The solution set of equation `sin^(-1) sqrt(1-x^2) + cos^(-1) x = cot^(-1) (sqrt(1 - x^2)/x) - sin^(-1) x`, is

A

`[-1,1] - {0}`

B

`(0,1] cup {-1}`

C

`[-1,0) cup {1}`

D

`[-1,1]`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|20 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 7|7 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

Similar Questions

Explore conceptually related problems

Solve sin^(-1) x - cos^(-1) x = cos ^(-1)(sqrt3/2) .

int (x(sin^-1x))/(sqrt(1-x^2))dx

Integrate the function: (sin^(-1)x)/sqrt(1-x^2)

Prove that sin^(-1)(2x.sqrt(1-x^(2)))=2cos^(-1)x,(1)/(sqrt(2))lexlt1

Solution of equation cot^(-1) x + sin^(-1) . 1/sqrt5 = pi/4 is

Find the solution of the equation: tan^-1x - cot^-1 x = tan^-1(1/sqrt3)

Show that : sin^-1(2xsqrt(1-x^2)) = 2 cos^-1 x, 1/sqrt2lexle1

sin [ tan^(-1). (1 - x^(2))/(2x) + cos^(-1) . (1-x^(2))/(1 + x^(2))] is

ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. The value of Sigma( r =1)^( infty) tan^(-1) ( 1/( r^(2) - 5r + 7)) ,...

    Text Solution

    |

  2. If x = tan^(-1) 1 - cos^(-1) ( - 1/2) + sin^(-1) 1/2 , y = cos (1/2 c...

    Text Solution

    |

  3. Prove that: tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^3A)=0

    Text Solution

    |

  4. Prove that : tan^-1(1/2) + tan^-1(1/5) + tan^-1(1/8) = pi/4

    Text Solution

    |

  5. Number of solutions (s) of the equations cos^(-1) ( 1-x) - 2 cos^(-...

    Text Solution

    |

  6. There exists a positive real number of x satisfying "cos"(tan^(-1)x)=x...

    Text Solution

    |

  7. The range of values of p for which the equation sin cos^(-1) (cos (tan...

    Text Solution

    |

  8. Number of solutions of the equation log(10) ( sqrt(5 cos^(-1) x -1 ...

    Text Solution

    |

  9. Solve sin^(-1) x+ cos^(-1) x = sin^(-1) (3x -2)

    Text Solution

    |

  10. The set of values of x, satisfying the equation tan^2(sin^-1x) > 1 is ...

    Text Solution

    |

  11. The solution set of equation sin^(-1) sqrt(1-x^2) + cos^(-1) x = cot^(...

    Text Solution

    |

  12. The value of the angle tan^(-1) ( tan 65^(@) - 2 tan 40^(@)) in degree...

    Text Solution

    |

  13. Prove that cotx - 2cot2x = tanx

    Text Solution

    |

  14. The value of Sigma(r=1)^(infty) tan^(-1) ( 1/(r^(2) + 5r + 7)) is equ...

    Text Solution

    |

  15. The range of the function , f (x) = tan^(-1) ((1+x)/(1 - x)) - tan^(...

    Text Solution

    |

  16. Let g: Rvec(0,pi/3) be defined by g(x)=cos^(-1)((x^2-k)/(1+x^2)) . The...

    Text Solution

    |

  17. Number of values of x satisfying simultaneously sin^(-1) x = 2 tan^(-1...

    Text Solution

    |

  18. Number of values of x satisfying the equation cos ( 3 arc cos ( x-1)) ...

    Text Solution

    |

  19. Which one of the following function contains only one integer in its ...

    Text Solution

    |

  20. If range of the function f(x) = tan^(-1) ( 3x^(2) + bx + 3) , x in R "...

    Text Solution

    |