Home
Class 12
MATHS
The set of values of x, satisfying the e...

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

A

`[-1,1]`

B

`[- sqrt2/2, sqrt2/2]`

C

`(-1,1) - [- sqrt2/2,sqrt2/2]`

D

`[-1,1] - (- sqrt2/2, sqrt2/2)`

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

Which of the following set of values of x satisfies the equation 2^((2 sin^(2) x-3sinx +1))+2^((2-2 sin^(2)x+3 sin x))=9 ?

If the sum of all value of x satisfying the system of equations tan x + tan y+ tan x* tan y=5 sin (x +y)=4 cos x * cos y is (k pi )/2 , where x in (0, (pi)/(2)) then find the values of k .

The number of values of yin[-2pi,2pi] satisfying the equation |sin2x|+|cos2x|=|siny| is

The value of x gt 1 satisfying the equation int_(1)^(x) tlnt dt=(1)/(4) is

Find the number of real values of x satisfying the equation. log_(2)(4^(x+1)+4)*log_(2)(4^(x)+1)=3

Find the sum of all real values of X satisfying the equation (x^2-5x+5)^(x^2 + 4x -60) = 1 .

The range of values of p for which the equation sin cos^(-1) (cos (tan^(-1) x)) = p has a solution is

The number of values of x in the interval [0, 3pi] satisfying the equation 2sin^2x + 5sin x- 3 = 0 is

The set of values of θ such that tan 2 θ = 1

Number of values of x satisfying simultaneously sin^(-1) x = 2 tan^(-1) x " and " tan^(-1) sqrt(x(x-1)) + cosec^(-1) sqrt(1 + x - x^(2)) = pi/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

    |