Home
Class 12
MATHS
Let n be a positive integer such that si...

Let `n` be a positive integer such that `sinpi/(2n)+cospi/(2n)=(sqrt(n))/2dot` Then

A

`6 le n le 8`

B

`4 lt n le 8`

C

`4 le n le 8`

D

`6 lt n lt 8`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

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

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|13 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 4|8 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

Let n be a positive integer such that (sin pi)/(2n)+(cos pi)/(2n)=(sqrt(n))/(2)* Then 6<=n<=8(b)4

Let n be a positive integer such that sin (pi/(2n))+cos (pi/(2n))= sqrt(n)/2 then (A) n=6 (B) n=1,2,3,….8 (C) n=5 (D) none of these

Let n be a positive integer such that sin((pi)/(2^(n)))+cos((pi)/(2^(n)))=(sqrt(n))/(2), then

The number of positive integers which satisfy sin((pi)/(4n))+cos((pi)/(4n))=sqrt((n)/(2)) is -

When n is a positive integer,then (n^(2))! is

The least positive integer n such that ((2i)^n)/((1-i)^(n-2)),i=sqrt(-1) , is a positive integer,is ______

If n is a positive integer and u_(n)=int x^(n)sqrt(a^(2)-x^(2))dx

ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Single Option Correct Type Questions)
  1. The value of 'a' for which the equation 4cosec^(2)pi(a+x)+a^(2)-4a=0 h...

    Text Solution

    |

  2. If the equation 2 cos x + cos 2 lambda x=3 has only one solution , t...

    Text Solution

    |

  3. Let n be a positive integer such that sinpi/(2n)+cospi/(2n)=(sqrt(n))/...

    Text Solution

    |

  4. The number of solution of the equation 5 sec theta -13=12 tan theta i...

    Text Solution

    |

  5. The number of solutions of the equation x^(3)+x^(2)+4x+2sinx=0 in 0 le...

    Text Solution

    |

  6. If tan((pi)/(2) sin theta )= cot((pi)/(2) cos theta ), then sin thet...

    Text Solution

    |

  7. The equation sin x + sin y + sin z = -3 for 0le x le2pi, 0le y le 2pi,...

    Text Solution

    |

  8. If x= npi+(-1)^(n)alpha , n in I and x=npi+(-1)^(n)beta are the root...

    Text Solution

    |

  9. If tan m theta = tan n theta and general value of theta are in AP,...

    Text Solution

    |

  10. If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

    Text Solution

    |

  11. lambda cos x - 3 sinx=lambda +1 is solvabel onlyl ,if

    Text Solution

    |

  12. cos 2x- 3 cos x + 1=(1)/((cot 2 x - cot x)sin (x-pi)) holds , if

    Text Solution

    |

  13. If sec x cos 5x=-1 and 0 lt x lt (pi)/(4), then x is equal to

    Text Solution

    |

  14. If sin^(100) theta - cos^(100) theta =1 , then theta is

    Text Solution

    |

  15. If sqrt(3) sin x - cos x ="min"(alpha in R){2,e^(2),pi, alpha^(2)-4al...

    Text Solution

    |

  16. The number of solutions of the equation cos 4x+6=7 cos 2x , when x ...

    Text Solution

    |

  17. The number of solutions of cot(5pi sin theta )=tan (5 pi cos theta ),...

    Text Solution

    |

  18. If exp [(sin^(2)x+sin^(4) x +sin^(6)x+.... oo)" In" 2] satisfies the ...

    Text Solution

    |

  19. The total number of solutions of cos x= sqrt(1- sin 2x) in [0, 2pi] is...

    Text Solution

    |

  20. If the equation cos 3 x cos^(3) x + sin 3 x sin^(3) x =0 , then x is ...

    Text Solution

    |