Home
Class 12
MATHS
Find the range of the following functio...

Find the range of the following functions: (where {.} and [.] represent fractional part and greatest integer part functions respectively)
`f(x)=sec^(2)x-tan^(2)x+sin(sinx+cosx)`

Text Solution

Verified by Experts

The correct Answer is:
`[1-sinsqrt(2),1+sinsqrt(2)]`

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MATCH THE COLUMN|5 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SCQ_TYPE|97 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SSP|55 Videos
  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

Find the range of the following functions: (where {.} and [.] represent fractional part and greatest integer part functions respectively) f(x)=1-|x-2|

Find the range of the following functions: (where {.} and [.] represent fractional part and greatest integer part functions respectively) f(x)=sin^(2)xcos^(4)x

Find the range of the following functions: (where {.} and [.] represent fractional part and greatest integer part functions respectively) f(x)=1/(2-cos 3x)

Find the range of the following functions: (where {.} and [.] represent fractional part and greatest integer part functions respectively) f(x)=x^(4)-2x^(2)+5

Find the range of the following functions: (where {.} and [.] represent fractional part and greatest integer part functions respectively) f(x)=(x+2)/(x^(2)-8x-4)

Find the range of each of the following functions: (where {.} and [.] represents fractional part and greatest integer part functions respectively) f(x)=2-3x-5x^(2)

Find the range of the following functions: (where {.} and [.] represent fractional part and greatest integer part functions respectively) f(x)=(x^(2)-2x+4)/(x^(2)+2x+4)

Find the range of the following functions: (where {.} and [.] represent fractional part and greatest integer part functions respectively) f(x)=1/(sqrt(16-4^(x^(2))-x))

Find the range of the following functions: (where {.} and [.] represent fractional part and greatest integer part functions respectively) f(x)=3sinsqrt((pi^(2))/16-x^(2))

Find the range of each of the following functions: (where {.} and [.] represents fractional part and greatest integer part functions respectively) f(x)=[1/(sin{x})]

RESONANCE-RELATION, FUNCTION & ITF-SUBJECTIVE_TYPE
  1. Find the range of the following functions: (where {.} and [.] represe...

    Text Solution

    |

  2. Find the range of the following functions: (where {.} and [.] represe...

    Text Solution

    |

  3. Find the range of the following functions: (where {.} and [.] represe...

    Text Solution

    |

  4. Find whether the following function are one-one or many -one & into or...

    Text Solution

    |

  5. Find whether the following function are one-one or many -one & into or...

    Text Solution

    |

  6. Find whether the following function are one-one or many -one & into or...

    Text Solution

    |

  7. Find whether the following function are one-one or many -one & into or...

    Text Solution

    |

  8. Find whether the following functions are one-one or many-one f(x)=sqrt...

    Text Solution

    |

  9. Find whether f(x) is one-one or many-one & into or onto if f:D->R wher...

    Text Solution

    |

  10. Find whether the following function are one-one or many -one & into or...

    Text Solution

    |

  11. Find whether the following function are one-one or many -one & into or...

    Text Solution

    |

  12. Find whether the following function are one-one or many -one & into or...

    Text Solution

    |

  13. Classify the following function f(x) defined in RtoR as injective, sur...

    Text Solution

    |

  14. Classify the following function f(x) defined in RtoR as injective, sur...

    Text Solution

    |

  15. Q.16 Classify the following functions f(x) defined in RrarrR as inject...

    Text Solution

    |

  16. Check whether the following functions is/are many-one or one-one &...

    Text Solution

    |

  17. Check whether the following functions is/are many-one or one-one &...

    Text Solution

    |

  18. Let f : A -> A where A = {x:-1<=x<= 1). Find whether the following fun...

    Text Solution

    |

  19. Let f:AtoA where A={x:-1lexle1}. Find whether the following function a...

    Text Solution

    |

  20. Let f : A -> A where A = {x:-1<=x<= 1). Find whether the following fun...

    Text Solution

    |