Home
Class 11
MATHS
pi is the FUNDAMENTAL period of...

`pi` is the FUNDAMENTAL period of

A

`(1+sinx)/(cosx(1+cosecx)`

B

`|sinx|+|cosx|`

C

`cos (sinx)+cos (cosx)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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

What is the fundamental period of f(x) = (sin x+ sin 3x)/(cos x+ cos 3x)

If theta is the fundamental period of the function f(x) = sin^99 x+sin^99(x+(2pi)/3)+sin^99(x+(4pi)/3) , then the complex number z=|z|(cos theta+i sintheta) lies in the quadrant number.

The number of elements present in the fifth period of the periodic table is

In each of the following cases find the period of the function if it is periodic. (i) f(x)="sin"(pi x)/(sqrt(2))+"cos"(pi x)/(sqrt(3)) " (ii) " f(x)="sin"(pi x)/(sqrt(3))+"cos"(pi x)/(2sqrt(3))

Draw the graph of f(x) = cos pi[x] , where [*] represents the greatest integer function. Find the period of the function.

For what integral value of n is 3 pi the period of the function cos(n x)sin((5x)/n) ?

If f: R->R is a function satisfying the property f(2x+3)+f(2x+7)=2AAx in R , then find the fundamental period of f(x) .

Find the fundamental period of f(x)=cosxcos2xcos3xdot

If a and b are natural numbers and f(x)=sin(sqrt(a^2-3))x+cos(sqrt(b^2+7))x is periodic with finite fundamental period then period of f(x) is

PATHFINDER-FUNCTION-QUESTION BANK
  1. A function f:R rarr R is defined by f(x+y)-kxy=f(x)+2y^2, AA xy in R a...

    Text Solution

    |

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

    Text Solution

    |

  3. pi is the FUNDAMENTAL period of

    Text Solution

    |

  4. If the range of the function y=(x-1)/(a-x^2+1) does not contain any va...

    Text Solution

    |

  5. Let f: d rarr R be defined by f(X)=In (In(In(In x))) then

    Text Solution

    |

  6. Let f(x)=max{1+sinx,1,1-cosx}, xin[0,2pi] and g(x)=max{1,|x-1|} x in R...

    Text Solution

    |

  7. Let f(x)=(e^-x)/(1+[x]), then

    Text Solution

    |

  8. The value(s) of a, for which (x^3-6x^2+11x-6)/(x^3+x^2-10x+8) + a/30 =...

    Text Solution

    |

  9. f(x) is real valued function, satisfying f(x+y)+f(x-y)=2f(X),f(y) for ...

    Text Solution

    |

  10. If S is the set of all real numbers x for which (2x-1)/(2x^3+3x^2+x) g...

    Text Solution

    |

  11. If f'(x)=(1-2sin^2x)/f(x), (f(x) ge 0, AA x in R and f(0)=1) then f(x...

    Text Solution

    |

  12. If f(x)=sin^2x+sin^2(x+pi/3)+cos x.cos(x+pi/3) and g(5/4)=1, then

    Text Solution

    |

  13. Let f:[-pi/3, 2pi/3] rarr [0,4] be a function defined as f(x)=sqrt3 si...

    Text Solution

    |

  14. If f(x)=x/(x^2+1) and f(A)={y:-1/2 le y lt 0}, then set A is

    Text Solution

    |

  15. If f(x)=cos([pi^2|x)+cos([-pi^2|x), where [x] stands for the greatest ...

    Text Solution

    |

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

    Text Solution

    |

  17. f(x)=cos^2x+cos^2(pi/3 +x)-cosxcos(pi/3 +x) is

    Text Solution

    |

  18. If [x] denotes the greatest integer less than or equal to x, the extre...

    Text Solution

    |

  19. Let y=f(x) is a parabola whose vertex is at (3/4,-1/4),the length of l...

    Text Solution

    |

  20. Let y=f(x) is a parabola whose vertex is at (3/4,-1/4),the length of l...

    Text Solution

    |