Home
Class 12
MATHS
The value of sum(k=1)^10(sin(2pik)/11-ic...

The value of `sum_(k=1)^10(sin(2pik)/11-icos(2pik)/11)` is

A

2

B

1

C

0

D

-1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|21 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 11|10 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

Find the value of sum_(k=1)^10[sin((2pik)/(11))-icos((2pik)/(11))],wherei=sqrt(-1).

The value of sum_(n=1)^(10) {sin(2npi)/11-icos(2npi)/11} , is

The value of sum_(k=1)^(10)((sin(2 pi k))/(11)-i(cos(2 pi k))/(11)) is

The value of sum_(r=1)^(8)(sin(2rpi)/9+icos(2rpi)/9) , is

The value of (Sigma_(k=1)^(4))(sin.(2pik)/(5)-icos.(2pik)/(5))^(4) is (where i is iota)

Find the value off sum_(k1)^10(2+3^k)

The value of Sigma_(i=1)^(6) (sin .(2pik)/(7)-i cos .(2pik)/(7))

The value of sum_(k=1)^(5)(1)/(sin(k+1)sin(k+2)) is

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. The value of sum(k=1)^10(sin(2pik)/11-icos(2pik)/11) is

    Text Solution

    |

  2. Given a^2+2a+c o s e c^2(pi/2(a+x))=0 then, which of the following hol...

    Text Solution

    |

  3. The minimum value of the function f(x)=(3 sin x - 4 cos x - 10)(3 si...

    Text Solution

    |

  4. The value of the expression sum(theta =0)^8 1/(1 + tan^3 (10theta)^@) ...

    Text Solution

    |

  5. the value of sqrt(1-sin^2 11 0^(@))*sec11 0^(@)

    Text Solution

    |

  6. If tan alpha ,tan beta are th roots of the eqution x^2+px+q=0 (p !=...

    Text Solution

    |

  7. sin(pi/2^2009)cos(pi/2^2009)cos(pi/2^2008).....cos(pi/2^2) is

    Text Solution

    |

  8. If tanB= (nsinA cosA)/(1-ncos^2A)then tan(A +B) equals

    Text Solution

    |

  9. If P = (tan(3^(n+1)theta - tantheta)

    Text Solution

    |

  10. The value of (cos^4 1^@+cos^4 2^@+....+cos^4 179^@)-(sin^4 1^@+sin^4 2...

    Text Solution

    |

  11. Suppose that 'a' is a non-zero real number for which sin x+sin y=a and...

    Text Solution

    |

  12. Let P(x)=sqrt(( cosx +cos2x+cos3x)^2+ (sin x + sin 2x+sin3x)^2) then P...

    Text Solution

    |

  13. If the maximum value of the expression 1/(5sec^2theta-tan^2theta+4cose...

    Text Solution

    |

  14. Let fn(a)=(sinalpha+sin3alpha+sin5alpha+...+sin(2n-1)alpha)/(cosalpha+...

    Text Solution

    |

  15. The minimum value of |sinx+cosx+(cosx+sinx)/(cos^(4)x-sin^(4)x)| is

    Text Solution

    |

  16. If a = cos (2012 pi), b = sec (2013 pi) and c = tan (2014 pi) then

    Text Solution

    |

  17. In a Delta ABC, the minimum value of sec^(2). (A)/(2)+sec^(2). (B)/...

    Text Solution

    |

  18. The number of ordered pairs (x, y) of real number satisfying 4x^2 - 4...

    Text Solution

    |

  19. In a DeltaABC,3 sin A+4 cos B=6 and 3 cos A+4 sinB=1, then angleC can ...

    Text Solution

    |

  20. An equilateral triangle has side length 8. The area of the region cont...

    Text Solution

    |