Home
Class 12
MATHS
Find the range of f(x)=[sin{x}], where {...

Find the range of `f(x)=[sin{x}],` where `{}` represents the fractional part function and `[]` represents the greatest integer function.
A. `-1`
B. `0`
C. `1`
D. `0.5`

Text Solution

Verified by Experts

We have `f(x) = {sin x}`

Also the period of the function is `2pi`.
Hence the graph of the function is as shown in the following figure.
Promotional Banner

Topper's Solved these Questions

  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise|22 Videos

  • GRAPHS OF ELEMENTARY FUNCTIONS

    CENGAGE|Exercise Exercise|34 Videos

  • HIGHT AND DISTANCE

    CENGAGE|Exercise JEE Previous Year|3 Videos

Similar Questions

Explore conceptually related problems

Draw the graph of f(x) ={2x} , where {*} represents the fractional part function.

Solve : x^(2) = {x} , where {x} represents the fractional part function.

Find the domain and range of f(x)=log{x},w h e r e{} represents the fractional part function).

Draw the graph of y= 2^({x}) , where {*} represents the fractional part function.

Draw the graph of y=|{x}-0.5| , where {.} represents the fractional part function.

Draw the graph of y={|x|} , where {.} represents the fractional part function.

Draw the graph of |y|={x} , where {.} represents the fractional part function.

Find the domain and range of f(x)=sin^(-1)[x]w h e r[] represents the greatest function).

Draw a graph of f(x) = sin {x} , where {x} represents the greatest integer function.

Draw the graph of |y|=[x] , where [.] represents the greatest integer function.

CENGAGE-GRAPHS OF TRIGONOMETRIC FUNCTIONS-Exercise
  1. Find the range of f(x)=[sin{x}], where {} represents the fractional pa...

    Text Solution

    |

  2. Draw the graph of y = " cosec "^(2) x - cot^(2) x. Is f(x) periodic ? ...

    Text Solution

    |

  3. Draw the graph of y = cos pix.

    Text Solution

    |

  4. Draw the graph of y = cos^(2)x.

    Text Solution

    |

  5. Find the value of x for which f(x)=sqrt(sinx-cosx) is defined, x in [0...

    Text Solution

    |

  6. Draw the graph of y = tan^(2) x.

    Text Solution

    |

  7. Draw the graph of y = sin x + cos x, x in [0, 2pi].

    Text Solution

    |

  8. Draw the graph of y = [cos x], x in [0, 2pi], where [*] represents the...

    Text Solution

    |

  9. Draw the graph of y = sin pisqrt(x).

    Text Solution

    |

  10. The number of roots of the equation xsinx=1,x in [-2pi,0)uu(0,2pi) is ...

    Text Solution

    |

  11. Evaluate : [lim(x to 0) (tan x)/(x)], where [*] represents the greates...

    Text Solution

    |

  12. For f(x) = sin x - x^(2) + 1, check weather the function is increasing...

    Text Solution

    |

  13. Draw the graph of the function f(x)=max dot {(sinx ,cos2x)},x in [0,2p...

    Text Solution

    |

  14. Draw the graph of y = cos x, x in [0, 2pi], where [*] denotes the gre...

    Text Solution

    |

  15. The total number of solution of sin{x}=cos{x} (where {} denotes the fr...

    Text Solution

    |

  16. Draw the graph of f(x) = |tan x| + |cot x|.

    Text Solution

    |

  17. Find the number of solutions to cos x = (x)/(10), x gt 0.

    Text Solution

    |

  18. The number of solutions of tanx-m x=0,m >1, in (-pi/2,pi/2) is 1 (b) 2...

    Text Solution

    |

  19. Find the number of solutions to log(e) |sin x| = -x^(2) + 2x in [-(pi)...

    Text Solution

    |

  20. Solve cos x = 1/2.

    Text Solution

    |

  21. Prove that the least positive value of x , satisfying tanx=x+1, lies i...

    Text Solution

    |