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

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

A

`4ltnlt8`

B

`4 ltn lt=8`

C

`4 lt=n lt 8`

D

`6 lt=n lt=8.`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUSTIONS FROM AIEEE/JEE EXAMINATIONS|8 Videos
  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos
  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|10 Videos
  • UNIT TEST PAPER NO - 4

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|25 Videos

Similar Questions

Explore conceptually related problems

Let n be a positive integer such that sin(pi/(2n))+cos(pi/(2n))=(sqrt(n))/2dot Then

If n is a positive integer, then (1+i)^(n)+(1-i)^(n)=

If n is a positive integer, then n^(3)+2n is divisible

The smallest positive integral value of n such that [(1+"sin"pi/8+i"cos"(pi)/8)/(1+"sin"(pi)/8-i"cos"(pi)/8)]^(n) is purely imaginary is n=

The smallest positive integral value of ' n ' such that [(1+sin (pi)/(8)+i cos (pi)/(8))(1+sin (pi)/(8)-i cos (pi)/(8))]^(n) is purely imaginary is

Let n ( gt 1 ) be a positive integer, the largest integer m such that ( n ^(m) + 1) divides : ( 1+ n + n^(2) + "………" n^(127)) is :

The smallest positive integer for which (1 + i)^(2n)=(1 -l)^(2n) is

If n is any positive integer then the value of (i^(4 n+1)-i^(4 m-1))/(2)=

If n is a positive integer, then: (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is:

In the expansion of (x^(2)+(2)/(x))^(n) for positive integer n has a term independent of x, then n is

MODERN PUBLICATION-TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS-MULTIPLE CHOICE QUESTION(LEVEL-II)
  1. If cos 5theta=a cos theta + b cos^(3)theta+c cos^(5) theta+d, then

    Text Solution

    |

  2. If sin(pi cos theta) = cos(pi sin theta), then of the value cos(th...

    Text Solution

    |

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

    Text Solution

    |

  4. The minimum value of the expression sin alpha + sin beta+ sin gamma, ...

    Text Solution

    |

  5. For m != n, if tanmtheta = tanntheta, then the different values of the...

    Text Solution

    |

  6. In a triangle PQR, /R = pi//2, If tan(P//2). and tan(Q//2) are the roo...

    Text Solution

    |

  7. If cos^4x/cos^2y+sin^4x/sin^2y=1 then prove that cos^4y/cos^2x+sin^4y/...

    Text Solution

    |

  8. If tanA = sqrt(a((a + b + c))/(bc)),tanB = sqrt(b((a + b + c))/(ca)),t...

    Text Solution

    |

  9. If (sinx)/a=(cosx)/b=(tanx)/c=k , then b c+1/(c k)+(a k)/(1+b k) is eq...

    Text Solution

    |

  10. Let n be an odd integer if sin ntheta = underset(r=0) overset(n)(sum)b...

    Text Solution

    |

  11. If cos(x-y), cosx and cos(x+y) are in H.P., then |cos x sec (y)/(2)| e...

    Text Solution

    |

  12. If (2sinalpha)/(1+cosalpha +sinalpha)=y , then prove that (1-cosalph...

    Text Solution

    |

  13. If alpha, beta, gamma and delta be four angles of a cyclic qardrilater...

    Text Solution

    |

  14. The number of real solutions of the equation : cos^(7)x + sin^(4)x = 1...

    Text Solution

    |

  15. If x = alpha,beta satisfy both the equations cos^(2)x + acosx + b = 0 ...

    Text Solution

    |

  16. If 0 lt=a lt=3,0 lt=b lt=3 and the equation : x^(2) + 4 + 3cos(ax + b)...

    Text Solution

    |

  17. The equation p cos x - q sinx = r admits of a solution for x only if :

    Text Solution

    |

  18. The equation kcosx - 3sinx + k +1 is solvable only if k belongs to the...

    Text Solution

    |

  19. If sin^(2)theta - 2 sin theta - 1 = 0 is to be satisfied for exactly 4...

    Text Solution

    |

  20. The number of values of x in [0,4pi] satisfying |sqrt(3cosx - sinx )| ...

    Text Solution

    |