Home
Class 12
MATHS
The period of sin""(pi[x])/12+cos""(pi[x...

The period of `sin""(pi[x])/12+cos""(pi[x])/4+tan""(pi[x])/3`, where [x] represents the greatest integer less than or equal to x is

A

12

B

4

C

3

D

24

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 12|4 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

If f(x)=e^([cotx]) , where [y] represents the greatest integer less than or equal to y then

If f(x)=x-[x], where [x] is the greatest integer less than or equal to x, then f(+1/2) is:

Solve the equation x^(3)-[x]=3 , where [x] denotes the greatest integer less than or equal to x .

If f(x) = {{:((sin[x])/([x]),[x] != 0),(0,[x] = 0):} , where [x] denotes the greatest integer less than or equal to x, then lim_(x to 0) equals

int_(0)^(pi)[cos x] dx, [ ] denotes the greatest integer function , is equal to

Find all the points of discontinuity of the greatest integer function defined by f(x) = [x] where [x] denotes the greatest integer less than or equal to x.

If f(x)=(sin([x]pi))/(x^2+x+1) , where [dot] denotes the greatest integer function, then

Prove that greatest integer function f: RrarrR , given by f (x) = [x] , is neither one-one nor onto where [x] denotes the greatest integer less than or equal to x .

If f(x)=sin{(pi)/(3)[x]-x^(2)}" for "2ltxlt3 and [x] denotes the greatest integer less than or equal to x, then f'"("sqrt(pi//3)")" is equal to

If [sin x]+[sqrt(2) cos x]=-3 , x in [0,2pi] , (where ,[.] denotes the greatest integer function ), then

ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. The area bounded by f(x)=sin^(-1)(sinx) and g(x)=pi/2-sqrt(pi^(2)/2-...

    Text Solution

    |

  2. If f.R rarr R,f(x)=(x^(2)+bx+1)/(x^(2)+2x+b),(b gt 1) " and " f(x), 1/...

    Text Solution

    |

  3. The period of sin""(pi[x])/12+cos""(pi[x])/4+tan""(pi[x])/3, where [x]...

    Text Solution

    |

  4. If f(2x+3y ,2x-7y)=20 x ,t h e nf(x , y)e q u a l sdot 7x-3y 7x+3y...

    Text Solution

    |

  5. The range of the function f(x)=sqrt(x-1)+2sqrt(3-x) is

    Text Solution

    |

  6. The domain of the function f(x)=cos^(-1)(sec(cos^-1 x))+sin^(-1)(cose...

    Text Solution

    |

  7. Let f(x) be a polynominal one-one function such that f(x)f(y)+2=f(x)...

    Text Solution

    |

  8. Let f(x) be a polynominal with real coefficients such that xf(x)=f'(x)...

    Text Solution

    |

  9. Let A={1,2,3,4,5} and f:A rarr A be an into function such that f(x) ne...

    Text Solution

    |

  10. If functions f:{1,2,…,n} rarr {1995,1996} satisfying f(1)+f(2)+…+f(199...

    Text Solution

    |

  11. Find the range of y=sin^3x-6sin^2x+11sinx-6.

    Text Solution

    |

  12. Let f(x)=x^2-2x ,x in R ,a n dg(x)=f(f(x)-1)+f(5-(x))dot Show that g(...

    Text Solution

    |

  13. If f(x) and g(x) are non-periodic functions, then h(x)=f(g(x)) is

    Text Solution

    |

  14. If f(x) is a real-valued function discontinuous at all integral points...

    Text Solution

    |

  15. A function f from integers to integers is defined as f(x)={{:(n+3, n ...

    Text Solution

    |

  16. If f:R->R and f(x)=sin(pi{x})/(x^4+3x^2+7), where {} is a fractional p...

    Text Solution

    |

  17. Show that f: R→ R defined as f(a) = 3a – 4 is one to one function.

    Text Solution

    |

  18. Find dy/dx if y= 3^x

    Text Solution

    |

  19. Let y be element of the set A={1,2,3,,5,6,10,15,30} and x(1),x(2),x(3)...

    Text Solution

    |

  20. If A gt 0, c,d,u.v are non-zero constants and the graph of f(x)=abs(Ax...

    Text Solution

    |