Home
Class 12
MATHS
If cosec^(-1) ( cosec x) " and " cosec (...

If `cosec^(-1) ( cosec x) " and " cosec ( cosec^(-1) x) ` are equal functions, then the maximum range of value of x is

A

`[- pi/2 , -1] cup[1, pi/2]`

B

`[- pi/2 , 0 ) cup ( 0, pi/2]`

C

`( - infty, -1] cup [1, infty)`

D

`[-1, 0) cup (0,1]`

Text Solution

Verified by Experts

The correct Answer is:
A
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

Prove that: cos ( cos^(-1) x) = cosec ( cosec^(-1)x).

The value of cosec (sec^-1 x + cosec^-1 x) is equal to :

int (cosec)^2 x dx is equal to :

int (dx)/(sec x + "cosec x")

If 4 sin^(2) x + cosec^(2)x, a , sin^(2)y+4 cosec^(2)y are in AP, then minimum value of (2a) is

Solve the 2 tan^-1 (cos x) = tan^-1 (2 cosec x) .

The value of sec^(-1)x+cosec^(-1)x is

ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. If tan^(-1). (sqrt((1+x^(2))) - sqrt((1-x^(2))))/(sqrt((1+x^(2)))+sqrt...

    Text Solution

    |

  2. Find the number of positive integral solutions of tan^-1 x + cot^-1 y ...

    Text Solution

    |

  3. If cosec^(-1) ( cosec x) " and " cosec ( cosec^(-1) x) are equal func...

    Text Solution

    |

  4. The value of underset(|x| rarr oo)("lim") cos (tan^(-1) (sin (tan^(-1)...

    Text Solution

    |

  5. Complete solution set of (cot^(-1)x)+2(tan^(-1)x)=0, where [] denotes ...

    Text Solution

    |

  6. Prove that sin7x + sin5x + sin3x + sinx = 4cosx cos2x sin4x

    Text Solution

    |

  7. If asin^(-1)x-bcos^(-1)x=c , then asin^(-1)x+bcos^(-1)x is equal to

    Text Solution

    |

  8. The number of integer x satisfying sin^(-1) |x -2| + cos^(-1) (1 -|3 -...

    Text Solution

    |

  9. The value of alpha such that sin^(-1)2/(sqrt(5)),sin^(-1)3/(sqrt(10)),...

    Text Solution

    |

  10. Prove that (cos^3x - sin^3x)/(cosx - sinx) = (2 + sin2x)/2

    Text Solution

    |

  11. If alpha is the only real root of the equation x^(3) + bx^(2) + cx + 1...

    Text Solution

    |

  12. Let u = cot^(-1) sqrt(cos 2 theta) - tan^(-1) sqrt( cos 2 theta) , ...

    Text Solution

    |

  13. Let f(x)= cos^(-1) ((1-x^2)/(1+x^2))= 2 tan^(-1)x x ge 0 , =-2 tan^(-1...

    Text Solution

    |

  14. Let f(x)= sin^(-1)((2x)/(1+x^2))AAx in R. The function f(x) is continu...

    Text Solution

    |

  15. Let f: Rvec[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then the s...

    Text Solution

    |

  16. Let f(x)=sin^(-1)2x + cos^(-1)2x + sec^(-1)2x. Then the sum of the max...

    Text Solution

    |

  17. If tan^(-1) . b/(c+a) + tan^(-1) . (c)/(a + b) = pi/4where a, b, c , a...

    Text Solution

    |

  18. Solutions of sin^(-1) (sinx) = sinx are if x in (0, 2pi)

    Text Solution

    |

  19. The equation e^(sin^(-1)x)/pi=y/(log y) has

    Text Solution

    |

  20. Let f(x) =1+2sin(e^x/(e^x+1)) x ge 0 then f^(-1)(x) is equal to (assu...

    Text Solution

    |