Home
Class 11
MATHS
If the function f(x ) = (sin n x)/( s...

If the function `f(x ) = (sin n x)/( sin ((x )/(n ))) n E Z` has period `pi ` then show that n is 2.

Text Solution

Verified by Experts

The correct Answer is:
`pi`
Promotional Banner

Topper's Solved these Questions

  • PERIODICITY EXTREME VALUES AND GRAPHS

    AAKASH SERIES|Exercise EXERCISE-I|28 Videos

  • PERIODICITY EXTREME VALUES AND GRAPHS

    AAKASH SERIES|Exercise EXERCISE-II|25 Videos

  • PERIODICITY EXTREME VALUES AND GRAPHS

    AAKASH SERIES|Exercise Exercise 5.3 Short answer question|7 Videos

  • PERIODICITY AND EXTREME VALUES

    AAKASH SERIES|Exercise Practice Sheet (Exericise-I) Level-II (Straight Objective Type Questions)|31 Videos

  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos

Similar Questions

Explore conceptually related problems

If the period of (sin nx)/( sin"" (x)/(n) ) is 4pi then n=

The period of sin (pix )/( n ) - cos ((pi x)/( n+1)) is

If the period of ( cos ( sin(nx)))/(tan""(x//n)), n in N is 6pi then n=

If the period of the function f(x)= sin (sqrt([n])x) where [n] denotes the greatest integer less than or equal to n is 2pi , then

The period of f(x) = sin""(pi x)/(n!)-cos""(pi x)/((n+1)!) is

If sin A = sin B and cos A = cos B , then show that A = 2n pi + B, n in Z

If f(x)=sin^(2)((pi)/8 + (x)/2) -sin^2((pi)/8-(x)/(2)) , then the period of f is

Let f(x) = (x - 1)(x - 2)(x - 3)…(x -n), n in N and f(')(n) = 5040 . Then the value of n is …..

AAKASH SERIES-PERIODICITY EXTREME VALUES AND GRAPHS -ADDITIONAL EXERCISE
  1. Find the period of (i) | tan x | cos 2 x (ii) 2 sin^(4) x...

    Text Solution

    |

  2. If the function f(x ) = (sin n x)/( sin ((x )/(n ))) n E Z has per...

    Text Solution

    |

  3. Find the period of log (e ) (sin^-1(x- [x]))

    Text Solution

    |

  4. Show that sin 5x + cos (sqrt(5) pi x) is non- periodic .

    Text Solution

    |

  5. Find the period of sin x + tan (x )/( 2) + sin ( x)/(2^(2)) + tan...

    Text Solution

    |

  6. Find the period of cos (cos x) + cos ( sin x).

    Text Solution

    |

  7. Find the period of cos^(2) x+ cos^(4) x

    Text Solution

    |

  8. Find the period of e^(logsinx) + tan^(3) x - cosec (3 x-5)

    Text Solution

    |

  9. Find the greatest or lest values of a^(2) sin^(2) theta + b^(2) ...

    Text Solution

    |

  10. Find the greatest of least values of a^(2) sec^(2) theta b^(2) ...

    Text Solution

    |

  11. Show that the range of sin^(2) theta + cos^(4) theta si [(3)/(4...

    Text Solution

    |

  12. Show that the range of the function f(x ) = (sin^(2) x + cos^(4) x)...

    Text Solution

    |

  13. Find the range of log(1//5) [ sqrt(2) (cos x + sin x) + 3]

    Text Solution

    |

  14. The minimum value of 2^(sin x)+2^(cos x) is

    Text Solution

    |

  15. If 5 cos x+ 12 cosy=13 , then the maximum value of 5sin x+ 12 sin y i...

    Text Solution

    |

  16. The minimum value of cos^(3) x+ cos^(3) (120^(@) + x) + cos^(3) (120^...

    Text Solution

    |

  17. Find the maximum minimum values of sin^(3) theta + cos^(3) the...

    Text Solution

    |

  18. Find the extreme values of 11 cos^(2) x+ 15 sin x cos x- 9 si...

    Text Solution

    |

  19. Find the extreme values of (1+ sin ((pi)/(4) + x) + cos ((pi)/(4...

    Text Solution

    |

  20. Find the extreme values of cos^(2) theta - sin^(2) theta

    Text Solution

    |