Home
Class 12
MATHS
If the solution set of inequality (cosec...

If the solution set of inequality `(cosec^-1 x^2)-2 cosec^-1 x ge pi/6(cosec^-1 x-2)` is `(-oo, m] uu[n, oo)` then `(m+n)` equals

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Solved Examples And Exercises|231 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise JEE Previous Year|20 Videos

  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

Similar Questions

Explore conceptually related problems

The solution set of the ineuality (csc^(-1)x)^(2)-2csc^(-1)x>=(pi)/(6)(csc^(-1)x-2) is (-oo,a]uu[b,oo), then (a+b) equals

Find the solutions of the equation cos ( cos^(-1) x) = cosec ( cosec^(-1)x).

If solution set of Inequality (x^(2)+x-2)(x^(2)+x-16)ge -40 is x epsilon(-oo, -4]uu[a,b]uu[c,oo) then a+b-c is

The solution set of the inequality (1)/(x-2)-(1)/(x)<=(2)/(x+2) is (-alpha,beta]uu(gamma,alpha)uu[delta,oo), then

Find the number of solution of the equation cos(cos^(-1)x)=csc(csc^(-1)x)

The solution set of the inequality max {1-x^(2),|x-1|}<1 is (-oo,0)uu(1,oo) (b) (-oo,0)uu(2,oo)(0,2)(d)(0,2)

The complete solution set of the inequality (3^(x)(2x-5)(x^(2)+x+2))/((cos x-2)(x^(2)+x))<=0 is (i) (-oo,-1)( (ii) ((5)/(2),oo) (iii) (-1,(5)/(2)] (iv) (-1,0)uu[(5)/(2),oo)

The solution of the inequality (tan^(-1)x)^(2)-3tan^(-1)x+2>=0 is- a.(-oo,tan1]uu[tan2,oo)b*(-oo,tan1] c.(-oo,-tan1]uu[tan2,oo)d.[-1,1]-(-(sqrt(2))/(2),(sqrt(2))/(2))

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-Question Bank
  1. Find the number of points x in[-pi/2, (3 pi)/2] satisfying the equ...

    Text Solution

    |

  2. If the equation sin ^-1(x^2+x+1)+cos ^-1(lambda x+1)=pi/2 has exactly ...

    Text Solution

    |

  3. Number of values of x satisfying the equation cos ^-1(x^2-.5 x+6)=...

    Text Solution

    |

  4. Given f(x)=tan ^-1(cot x)+cot ^-1(tan x),(pi/2 lt x lt pi) , then ...

    Text Solution

    |

  5. If all the roots of the equation x^3-3 x=0 satisfy the equation (alpha...

    Text Solution

    |

  6. If the solution set of inequality (cosec^-1 x^2)-2 cosec^-1 x ge pi/6(...

    Text Solution

    |

  7. Find the sum of the values of x satisfying the equation tan ^-1((2 ...

    Text Solution

    |

  8. Number of values of x satisfying the equation cos ((4 pi)/3-cos ^-1...

    Text Solution

    |

  9. If the value of expression sin ^-1(sin 2013^(circ))+cos ^-1(cos.2013^...

    Text Solution

    |

  10. Let f:[0,3 pi] rarr[-pi/2, pi/2] be defined by f(x)=sin ^-1(sin x)...

    Text Solution

    |

  11. function f(x)=(arccot x/2+operatornamearccot x/3)/(arctan x/2+arctan ...

    Text Solution

    |

  12. If m and M are the least and the greatest value of (cos ^-1 x)^2...

    Text Solution

    |

  13. Solution of the equation cot (overset (4) underset (r =1) sum cot ^-1...

    Text Solution

    |

  14. If the equation sin ^-1 x=cosec^-1 x is satisfied for alpha and beta, ...

    Text Solution

    |

  15. Let f(x)=sin ^5 x-cos ^2 x and g(x)=cot ^-1(x^2+x+1) . Number of...

    Text Solution

    |

  16. The value of 3 sin (1/2 arc cos 1/9) +4 cos (1/2 arc cos 1/8) equal t...

    Text Solution

    |

  17. If alpha=sin (sin ^-1 (1)/(sqrt(3)) beta=cos (cos ^-1(1/sqrt5)-sin ^-1...

    Text Solution

    |

  18. Number of integers in the domain of cos ^-1(log 2(x/3)) is

    Text Solution

    |

  19. Let x=tan ^-1(tan 2)+tan (tan ^-1 2), then [x]+sgn(x) is equal ...

    Text Solution

    |

  20. If underset(i=1)overset(10)sum(cos ^-1 xi+cos ^-1 y1)=20 pi, then th...

    Text Solution

    |