Home
Class 12
MATHS
If n in N and sin((pi)/(2n))+cos((pi)/(2...

If `n in N` and `sin((pi)/(2n))+cos((pi)/(2n))=(sqrt(n))/(2)`, then a possible value of n is

A

4

B

6

C

8

D

12

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 Single Correct Answer Type Questions)|30 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|32 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept-based Single Correct Answer Type Questions ) |20 Videos

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

Similar Questions

Explore conceptually related problems

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 -

If A(x)=det[[x^(n),sin x,cos xn!sin((n pi)/(2)),cos((n pi)/(2))a,a^(2),a^(3)]], then the value of (d^(n))/(dx^(n))[Delta(x)] at x=0 is

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

If sin theta=(1)/(2) and cos theta=-(sqrt(3))/(2), then the general value of theta is (n in Z)*( a) 2n pi+(5 pi)/(6) (b) 2n pi+(pi)/(6)2n pi+(7 pi)/(6)( d) 2n pi+(pi)/(4)

If the sum of (n-1) terms of the series sin((pi)/(n))+sin((2 pi)/(n))+sin((3 pi)/(n))+.... is equal to 2+sqrt(3), then find the value of n.

lim_(n rarr oo)n sin\ (2 pi)/(3n)*cos\ (2 pi)/(3n)

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

If quad (cos^(2)pi)/(2)+(cos^(2)(2 pi))/(n)+...+(cos^(2)((n-1)pi))/(n) then s equals

Evaluate sin((pi)/(n))+sin((3 pi)/(n))+sin((5 pi)/(n))+ to n terms.

MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -EXERCISE (LEVEL 1 Single Correct Answer Type Questions)
  1. If cosx-sinx=1//2, then tan2x=

    Text Solution

    |

  2. Which of the following gives the least value of A

    Text Solution

    |

  3. If n in N and sin((pi)/(2n))+cos((pi)/(2n))=(sqrt(n))/(2), then a poss...

    Text Solution

    |

  4. If 4n alpha=pi, then the value of tan alpha tan 2alpha tan 3 alpha…… t...

    Text Solution

    |

  5. If x gt0 and |(x, sin theta, cos theta),(-sin theta, x, 1),(cos theta,...

    Text Solution

    |

  6. If 2tan(pi//3) cos (2pi x)=sqrt(3), the general solution of the equati...

    Text Solution

    |

  7. 2cos^(2)x+4cosx=3sin^(2)x if

    Text Solution

    |

  8. 6tan^(2)x-2cos^(2)x=cos2x if

    Text Solution

    |

  9. The greatest value of cos theta for which cos 5 theta=0 is

    Text Solution

    |

  10. If tan p theta= tan q theta, then the values of theta form an A.P. wit...

    Text Solution

    |

  11. The equation int(0)^(x).(t^(2)-8t+13) dt =x sin(a//x) has a solution i...

    Text Solution

    |

  12. The smallest positive root of the equation sqrt(sin(1-x))=sqrt(cosx)...

    Text Solution

    |

  13. The sum of the roots of the equation 4cos^(3)x-4cos^(2)x-cos(pi+x)-1...

    Text Solution

    |

  14. A solution (x, y) of x^(2)+2x sin xy+1=0 is

    Text Solution

    |

  15. e^(sinx)-e^(-sinx)=4 for

    Text Solution

    |

  16. The number of values of x satisfying the condition sin x +sin 5x=sin3x...

    Text Solution

    |

  17. sin x, sin2x, sin3x are in A.P. if

    Text Solution

    |

  18. 2sin^(2)((pi//2)cos^(2)x)=1-cos(pi sin2x) if

    Text Solution

    |

  19. Number of solutions of the equation 4 sin^(2)x+tan^(2)x+cot^(2)x+"cose...

    Text Solution

    |

  20. Sum of integral values of n such that sinx (2sin x+cosx)=n, has at le...

    Text Solution

    |