Home
Class 11
MATHS
The least period of the function sin((x[...

The least period of the function `sin((x[x])/12)+cos((nx)/4)+tan((pi(x))/3)` is`lambda`,then the value of `(lambda/3)` must be (where[.] denotes the greatest integer function)

Text Solution

Verified by Experts

[8]
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|81 Videos

  • FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|66 Videos

Similar Questions

Explore conceptually related problems

lim_(xrarr1([x]+[x]) , (where [.] denotes the greatest integer function )

Solve x^2-4-[x]=0 (where [] denotes the greatest integer function).

If f(x)= [sin^2x] (where [.] denotes the greatest integer function ) then :

The value of int_0^1.5 [x^2] dx is : where [x] denotes greatest integer function.

If [x+[2x]] lt3 , where [.] denotes the greatest integer function, then x is

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

Solve lim_(xrarr1)[sin^(-1)x] (where [.] denotes greatest integer function.)

Evaluate lim_(x->(5pi)/4) [sinx+cosx], where [.] denotes the greatest integer function.

Domain of f(x)=sin^-1[2-4x^2] is ([.] denotes the greatest integer function)

If f(x)=cos |x|+[|sin x/2|] (where [.] denotes the greatest integer function), then f (x) is

PATHFINDER-FUNCTION-QUESTION BANK
  1. If maximum and minimum value of f(x)=^xC(2x-1)+^(20-3x)C(4x-5) are la...

    Text Solution

    |

  2. Let f be the function from the set of positive integers to the set of ...

    Text Solution

    |

  3. The least period of the function sin((x[x])/12)+cos((nx)/4)+tan((pi(x)...

    Text Solution

    |

  4. If maximum and minimum value of f(x)=^xC(2x-1)+^(20-3x)C(4x-5) are la...

    Text Solution

    |

  5. If the period of the function cos(nx)sin((5x)/n) is 3pi,then the numb...

    Text Solution

    |

  6. If f(x+y)=f(x)+f(y)-xy-1' for all x,y in Rand f(1)=1,then the value of...

    Text Solution

    |

  7. Let n(A)=4 and n(B)=6 ,then the number of one one functions from A to ...

    Text Solution

    |

  8. If f(x)f(y)+2=f(x)+f(y)+f(xy) AA x,y in R and f(1)=f'(1)=2, then sgn (...

    Text Solution

    |

  9. Let f:[0,1]rarr[0,1] defined by f(x)=(1-x)/(1+x)for0lexle1 and let g:...

    Text Solution

    |

  10. If f(x)=1+x^2and f(g(x))=1+x^2-x^3+x^4,g(2)=2,then g(3) equals

    Text Solution

    |

  11. f(x) is a polynomial satisfying f(x).f(y)=f(x)+f(y)+f(xy)=2, AAx,y in ...

    Text Solution

    |

  12. Find the domain of each of the following functions: f(x)=sqrt(x+2)

    Text Solution

    |

  13. Find the domain of each of the following functions: f(x)=1/sqrt(2x^2-7...

    Text Solution

    |

  14. Find the domain of each of the following functions: f(x)=sqrt(x^2-3x+2...

    Text Solution

    |

  15. Find the renge of each of the following functions: f(x)=(x^2-5x+6)

    Text Solution

    |

  16. Find the domain of each of the following functions: f(x)=sqrt(sinx-1)

    Text Solution

    |

  17. Find the domain of each of the following functions: f(x)=1/sqrt(x-1)

    Text Solution

    |

  18. Find the range of the following function : f(x)=(x^2+2x+3)

    Text Solution

    |

  19. Find the range of the following function : f(x)=sqrt(x^2-x+1)

    Text Solution

    |

  20. Find the range of the following function : f(x)=3sinx+4cosx-5

    Text Solution

    |