Home
Class 12
MATHS
Solve the inequality: (arc secx)^2-6(arc...

Solve the inequality: `(arc secx)^2-6(arc secx)+ 8> 0`

Text Solution

Verified by Experts

The correct Answer is:
`(-oo, sec 2) cup [1 , oo)`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -I|4 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -II|7 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -2 (Level -II)|12 Videos
  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|6 Videos
  • LIMIT

    MOTION|Exercise EXERCISE-4|17 Videos

Similar Questions

Explore conceptually related problems

Solve the inequality: (arc sec x)^(2)-6(arcsec x)+8>0

Solve the inequality x^2+x-6ge0

Solve the following inequality: arc cot^(2)x-5 arc cotx+6gt0

Prove the inequality arc tan x_(2) -arc tan x_(1) lt x_(2) -x_(1) where x_(2) gt x_(1)

Solve the following inequalities arc sin x gt arc cos x

int x (secx)^2 dx

027 Solve the following inequalities @) are cotx-5 arc cotx +6>0 (ii) arc sinx> arc cosx (iii) tan (arc sinx)>1

Solve the following inequalities tan^(2) (arc sin x)gt 1

Solve the equation, 1+secx = 8tan^(2)(x/2)

int(secx+tanx)^(2)dx=

MOTION-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise -3
  1. Solve the following inequalities cos^(-1) x lt 2

    Text Solution

    |

  2. Solve the following inequality: cot^(-1)xlt -sqrt(3)

    Text Solution

    |

  3. Solve the inequality: (arc secx)^2-6(arc secx)+ 8> 0

    Text Solution

    |

  4. Solve the following inequality: arc cot^(2)x-5 at cotx+6gt0

    Text Solution

    |

  5. Solve the following inequalities arc sin x gt arc cos x

    Text Solution

    |

  6. Solve the following inequalities tan^(2) (arc sin x)gt 1

    Text Solution

    |

  7. Solve the following system of inequations: 4(tan^(-1)x)^2-8tan^(-1)x+3...

    Text Solution

    |

  8. Solve for x : sin^(- 1)(sin((2x^2+4)/(1+x^2)))lt pi-3

    Text Solution

    |

  9. The sum of the infinte series sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(2)-1)...

    Text Solution

    |

  10. Find the sum of the series :(tan^- 1)1/3+(tan^- 1)2/9+....+(tan^- 1)(2...

    Text Solution

    |

  11. Find the sum of the series cot^(-1) 7+cot^(-1)13+cot^(-1)21+cot^(-1)...

    Text Solution

    |

  12. Find the sum of each of the following series :(i) tan^-1(1/(x^2+x+1))+...

    Text Solution

    |

  13. Find the sum of the series tan^(-1) 1/2+tan^(-1) 1/8+tan^(-1) 1/18+t...

    Text Solution

    |

  14. If the sum sum(n=1)^10 sum(m=1)^10 tan^(-1) (m/n) = k pi, find the va...

    Text Solution

    |

  15. Find the value of tan { 1/2 sin^(-1) ((2x)/(1+x^(2))) + 1/2 cos^(-1...

    Text Solution

    |

  16. If alpha=2 arc t a n((1+x)/(1-x)) in B=a r c s i n((1-x^2)/(1+x^2))...

    Text Solution

    |

  17. Let y = sin^-1 (sin8) - tan^-1(tan 10) + cos^(-1) '(cos12)-sec^(-1) (...

    Text Solution

    |

  18. Let u = cot^(-1) sqrt(cos 2 theta) - tan^(-1) sqrt( cos 2 theta) , ...

    Text Solution

    |

  19. If x in [-1,-1/2] then express the function f(x)=sin^(-1) (3x-4x^(3))+...

    Text Solution

    |

  20. Prove that tan[pi/4+1/2cos^(-1)""a/b]+tan[pi/4-1/2cos^(-1)""a/b]=2b/a

    Text Solution

    |