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|4 Videos

Similar Questions

Explore conceptually related problems

If cosec^(-1) (cosec x) and cosec (cosec^(-1) x) are equal function then the maximum range of value of x is

cosec^(-1)3x

cosec^(-1)(cos x) is real if

sec (CSC ^ (- 1) x)

cot^(-1)("cosec x"+cotx)

Express cot(cosec^(-1)x) as an algebraic function of x .

sin(sec^(-1)x+"cosec"^(-1)x)

Range of "cosec"^(-1)x is

int(1-cosx)cosec^(2)x dx is equal to

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. If sin^(-1) : [-1, 1] rarr [(pi)/(2), (3pi)/(2)] and cos^(-1) : [-1, 1...

    Text Solution

    |

  7. If asin^(-1)x-bcos^(-1)x=c , then asin^(-1)x+bcos^(-1)x is equal to 0 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. L e t|tan^(-1)xtan^(-1)2xtan^(-1)3xtan^(-1)3xtan^(-1)xtan^(-1)2xtan^(-...

    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(x) = tan^(-1) (x^2-18x + a) gt 0 x in R. Then the value of a lie...

    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

    |