Home
Class 12
MATHS
Solves cos^(-1) x lt 2...

Solves `cos^(-1) x lt 2`

A

`x in (cos2, 2)`

B

`x in (0, 1)`

C

`x in (-1, 1)`

D

`x in (cos2, 1)`

Text Solution

Verified by Experts

The correct Answer is:
D

`cos^(-1) x gt 2`
or `0 le cos^(-1) x lt 2`
or `cos 0 ge x gt cos 2` (`:. Cos^(-1) x`is decreasing function)
`rArr x in (cos 2, 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

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

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

Find the value of x for which sin^(-1) (cos^(-1) x) lt 1 and cos^(-1) (cos^(-1) x) lt 1

Solve sqrt(x-1)/(x-2) lt 0

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

If (1)/(sqrt2) lt x lt 1 , then prove that cos^(-1) x + cos^(-1) ((x + sqrt(1 - x^(2)))/(sqrt2)) = (pi)/(4)

Solve : cos^-1 x - sin^-1 x = cos^-1 (x sqrt3) .

Solve (1)/(|x|-3) lt 1/2

Solve cos x = 1/2.

If -1 lt x lt 0 , then cos^(-1) x is equal to

CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the value of 2cos^(-1)(3/(sqrt(13)))+cot^(-1)(16/63)+1/2cos^(-1)(...

    Text Solution

    |

  2. Find the principal value of (a) cosec^(-1) (-1) (b) cot^(-1) (-(1)/(...

    Text Solution

    |

  3. Solves cos^(-1) x lt 2

    Text Solution

    |

  4. Find the possible values of sin^(-1) (1 - x) + cos^(-1) sqrt(x -2)

    Text Solution

    |

  5. Find the real values of x for which the function f(x) = cos^(-1) sqrt(...

    Text Solution

    |

  6. Find the smallest and the largest values of tan^(-1) ((1 - x)/(1 + x))...

    Text Solution

    |

  7. Find the value of x for which sin^(-1) (cos^(-1) x) lt 1 and cos^(-1) ...

    Text Solution

    |

  8. Solve sin^(-1) x gt tan^(-1) x

    Text Solution

    |

  9. Find the range of f(x) = cos^(-1) x + cot^(-1) x

    Text Solution

    |

  10. If (sin^(-1)x)^2+(sin^(-1)y)^2+(sin^(-1)z)^2=3/4pi^2 , find the value ...

    Text Solution

    |

  11. Find the value of sin(1/4)cos^(-1)((-1)/9)

    Text Solution

    |

  12. If x lt 0, then prove that cos^(-1) x = pi - sin^(-1) sqrt(1 - x^(2))

    Text Solution

    |

  13. Prove that sin^(-1). ((x + sqrt(1 - x^(2)))/(sqrt2)) = sin^(-1) x + (p...

    Text Solution

    |

  14. Find the following values : (a) tan^(-1) (tan13pi/5) (b) sec^(-1)( s...

    Text Solution

    |

  15. If f(x) = sin^(-1) (sin ("log"(2) x)), then find the value of f(300)

    Text Solution

    |

  16. find the maximum value of f(x) = (sin^(-1) (sin x))^(2) - sin^(-1) (si...

    Text Solution

    |

  17. Solve for sin^(-1) (sin 5) gt x^(2) - 4x

    Text Solution

    |

  18. Consider function f(x) = sin^(-1) (sin x) + cos^(-1) (cos x), x in [0,...

    Text Solution

    |

  19. Find the values of x in [0,2pi] for which function f(x) = tan^(-1) (ta...

    Text Solution

    |

  20. Express sin^(-1).(sqrtx)/(sqrt(x + a)) as a function of tan^(-1)

    Text Solution

    |