Home
Class 12
MATHS
solve sin^(-1) x le cos^(-1) x...

solve `sin^(-1) x le cos^(-1) x`

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C

`a = 20 - 6pi, b = 10 pi - 30, c = sin^(-1) sin(4pi - 10) = 10 - 3pi`
So, `a + b + c = pi`
`sin^(-1) sin x ge |x -pi| rArr x in [(pi)/(2), pi]`
So, largest integer x = 3
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise JEE Previous Year|20 Videos
  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

Similar Questions

Explore conceptually related problems

Solve : sin^(-1) x gt cos^(-1) x

Solve sin^(-1)x >-1

Prove that pi/2 le sin ^(-1) x +2 cos^(-1) x lt (3 pi)/(2)

Solve cos^(-1)x >cos^(-1)x^2

Solve sin^(-1)x-cos^(-1)x=sin^(-1)(3x-2)

sin^(-1)x-cos^(-1)(-x) =………..

solve sin^(-1) (sin 5) gt x^(2) - 4x

Solve sin^(-1)(1-x)-2sin^(-1)x=pi/2

Solve 2 sin^(3) x=cos x .

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Let cos^(-1) (4x^(3) -3x) = a + b cos^(-1) x If x in [-1, -(1)/(2)),...

    Text Solution

    |

  2. Let cos^(-1) (4x^(3) -3x) = a + b cos^(-1) x If x in ((1)/(2), 1], t...

    Text Solution

    |

  3. solve sin^(-1) x le cos^(-1) x

    Text Solution

    |

  4. Let a = cos^(-1) cos 20, b = cos^(-1) cos 30 and c = sin^(-1) sin (a +...

    Text Solution

    |

  5. Find the principal value of sin^(-1) (1/2)

    Text Solution

    |

  6. The value of int(-(pi)/(2)) ^((pi)/(2)) sin^(2) x cos x dx is

    Text Solution

    |

  7. Match the following List I to List II

    Text Solution

    |

  8. Find the area of the triangle formed by the points A(0, – 1), B(– 2, ...

    Text Solution

    |

  9. Match the following :

    Text Solution

    |

  10. Match the following List I to List II

    Text Solution

    |

  11. Match the following List I to List II

    Text Solution

    |

  12. The solution set of inequality (cot^(-1)x)(tan^(-1)x)+(2-pi/2),cot^(-1...

    Text Solution

    |

  13. If x=sin^(-1)(a^6+1)+cos^(-1)(a^4+1)-tan^(-1)(a^2+1),a in R , then th...

    Text Solution

    |

  14. If the roots of the equation x^(3) -10 x + 11 = 0 are u, v, and w, the...

    Text Solution

    |

  15. The number of values of x for which sin^(-1)(x^2-(x^4)/3+(x^6)/9)+cos^...

    Text Solution

    |

  16. If the domain of the function f(x) = sqrt(3 cos^(-1) (4x) - pi) is [a,...

    Text Solution

    |

  17. If tan^(-1)(x+3/x)-tan^(-1)(x-3/x)=tan^(-1)6/x , then the value of x^4...

    Text Solution

    |

  18. If range of function f(x)=sin^(-1)x+2tan^(-1)x+x^2+4x+1 is [p , q], th...

    Text Solution

    |

  19. The value of "tan"(sin^(-1)("cos"(sin^(-1)x)))"tan"(cos^(-1)(sin(cos^(...

    Text Solution

    |

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

    Text Solution

    |