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

If `cosec^(-1)(cosecx)` and `cosec(cosec^(-1)x)` are equal functions, then the maximum range of value of `x` is (a)`[-pi/2,-1]uu[1,pi/2]` (b) `[-pi/2,0]uu[0,pi/2]` (c)`(-oo,-1)uu[1,oo]` (d) `[-1,0]uu[0,1]`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=2 cosec 2x + sec x+cosec x , then the minimum value of f(x) for x in (0,pi/2) is

If (log)_3(x^2-6x+11)lt=1, then the exhaustive range of values of x is: (a) (-oo,2)uu(4,oo) (b) (2,4) (c) (-oo,1)uu(1,3)uu(4,oo) (d) none of these

Range of tan^(-1)((2x)/(1+x^2)) is (a) [-pi/4,pi/4] (b) (-pi/2,pi/2) (c) (-pi/2,pi/4) (d) [pi/4,pi/2]

If domain of f(x) is [1,3] , then the domain of f((log)_2(x^2+3x-2))i s a. [-5,-4]uu[1,2] b. [-13 ,-2]uu[3/5,5] c. [4,1]uu[2,7] d. {-3,2}

The domain of the function f(x)=(sin^(-1)(3-x))/(I n(|x|-2)i s (a) [2,4] (b) (2,3)uu(3,4] (c) (0,1)uu(1,oo) (d) (-oo,-3)uu(2,oo)

If sin^(-1)((x)/(13))+"cosec"^(-1)((13)/(12)) =(pi)/(2) , then the value of x is

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-pi/2,pi/4) (b) (0,pi/2) (-pi/2,pi/2) (d) (pi/4,pi/2)

Let A (0,2),B and C be points on parabola y^(2)+x +4 such that /_CBA (pi)/(2) . Then the range of ordinate of C is (a) (-oo,0)uu (4,oo) (b) (-oo,0] uu[4,oo) (c) [0,4] (d) (-oo,0)uu [4,oo)

For x^2-(a+3)|x|+4=0 to have real solutions, the range of a is a. (-oo,-7]uu[1,oo) b. (-3,oo) c. (-oo,-7) d. [1,oo)

If sin ^(-1) ((x)/(13))+"cosec"^(-1)((13)/(12))=(pi)/(2) then the values of x is -

CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Let cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x)b epidot If x satisfies the e...

    Text Solution

    |

  2. If cot^(-1)n/pi>pi/6,n in N , then the maximum value of n is (a) 6 (b...

    Text Solution

    |

  3. If cosec^(-1)(cosecx) and cosec(cosec^(-1)x) are equal functions, then...

    Text Solution

    |

  4. cos^(-1)("cos"(2cot^(-1)(sqrt(2)-1))) is equal to (a) sqrt(2)-1 (b) p...

    Text Solution

    |

  5. The value of sin^(-1)("cot"(sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)((sqr...

    Text Solution

    |

  6. The value of cos^(-1)sqrt(2/3)-cos^(-1)((sqrt(6)+1)/(2sqrt(3))) is equ...

    Text Solution

    |

  7. The value of cos(1/2cos^(-1)(1/8)) is (a)3/4 (b) -3/4 (c) 1/(16)...

    Text Solution

    |

  8. Solve the equation tan^(-1)((x+1)/(x-1))+tan^(-1)((x-1)/x)=tan^(-1)(-7...

    Text Solution

    |

  9. Solve the equation sin^(-1)6 x+sin^(-1)6sqrt(3)x=(-pi)/2dot

    Text Solution

    |

  10. Prove that: tan^-1((c1x-y)/(c1y+x))+tan^-1((c2-c1)/(1+c2c1))+tan^-1((c...

    Text Solution

    |

  11. Let f(x)=sinx+cosx+tanx+sin^(-1)x+cos^(-1)x+tan^(-1)xdot Then find the...

    Text Solution

    |

  12. If the area enclosed by the curves f(x) = cos^(-1) (cos x) and g(x) = ...

    Text Solution

    |

  13. The number of solutions of the equation cos^(-1)((1+x^2)/(2x))-cos^(-1...

    Text Solution

    |

  14. f(x)=tan^(-1)x+tan^(-1)(1/x);g(x)=sin^(-1)x+cos^(-1)x are identical fu...

    Text Solution

    |

  15. If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then the value of asqrt((1-a^2))+...

    Text Solution

    |

  16. The solution set of inequality log(1/2) sin^-1 x gt log(1/2) cos^-1 x

    Text Solution

    |

  17. For 0 < theta < 2pi , sin^(-1)(sintheta)>cos^(-1)(sintheta) is true wh...

    Text Solution

    |

  18. If |sin^(-1)x|+|cos^(-1)x|=pi/2,t hen

    Text Solution

    |

  19. The mean and standard deviation of 100 observations were calculated as...

    Text Solution

    |

  20. If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a)(sqrt(3)-1...

    Text Solution

    |