Home
Class 12
MATHS
Solve cos^(-1)x >cos^(-1)x^2...

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

Text Solution

Verified by Experts

`cos^(-1) x gt cos^(-1) x^(2)`
or `x lt x^(2)` ( `:' cos^(-1)` is decreasing)
or `x^(2) - x gt 0`
or `x(x -1) gt0`
`rArr x in [-1, 0)`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 7.1|12 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 7.2|6 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

Solve sin^(-1)x<=cos^(-1)x

Solve sin^(-1) x - cos^(-1) x = cos ^(-1). sqrt3/2 .

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

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

2cos^(-1)x=cos^(-1)(2x^(2)-1)

Solves cos^(-1) x lt 2

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

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

Solve the following inequality: cos^(-1)xgtcos^(-1)x^(2)

Solve: cos^(-1) ((x^(2)-1)/(x^(2)+1))+ tan^(-1) ((2x)/(x^(2)-1)) = 2/3 pi .

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-Question Bank
  1. Solve cos^(-1)x >cos^(-1)x^2

    Text Solution

    |

  2. If alpha and beta are the two zeroes of the equation 3 cos ^-1(...

    Text Solution

    |

  3. If log pi x gt 0 then the absolute value of log 1/pi(sin ^-1 (2 x)/...

    Text Solution

    |

  4. If sin ^-1(sin 4)^-1+cos ^-1(cos 8)+tan ^-1(tan 6)+cot ^-1 .(cot 10)=...

    Text Solution

    |

  5. Total number of ordered pairs (x, y) satisfying |y|=cos x and y=sin...

    Text Solution

    |

  6. Find the number of points x in[-pi/2, (3 pi)/2] satisfying the equ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |