Home
Class 12
MATHS
The value of sum(k=1)^(6)("sin"(2pik)/(7...

The value of `sum_(k=1)^(6)("sin"(2pik)/(7)-I"cos"(2pik)/(7))` is

A

i

B

0

C

`-i`

D

`-1`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2001

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|53 Videos

  • KARNATAKA CET 2003

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

The value of sum_(k=1)^(6)[" sin"(2Kpi)/(7)- i " cos"(2Kpi)/(7)] is

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

The value of sum_(k=1) ^(10)( sin "" ( 2kpi )/( 11) + i cos "" ( 2kpi )/(11)) is :

The value of sin (pi)/(7)+sin (2 pi)/(7)+sin (3 pi)/(7) is

The value of cos (2 pi)/(7)+cos (4 pi)/(7)+cos (6 pi)/(7) is

The value of cos (pi)/(7) . cos (2 pi)/(7) . cos (4 pi)/(7) is

What is the value of cos^(-1)(cos((2pi)/3))+sin^(-1)(sin((2pi)/3)) ?

One of the values of ((cos (pi)/(6)-i sin (pi)/(6))^(1 / 2))((cos (pi)/(6)+i sin (pi)/(6))^(1 / 2)) is

The value of sum_(k=1)^(13)(i^(n)+i^(n+1)) , where i=sqrt(-1) equals :

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2002-MATHEMATICS (MCQ.s)
  1. If 0ltxlt(pi)/(2), then the largest angle of a triangle whose sides ar...

    Text Solution

    |

  2. The general solution of the equation sintheta+costheta=1 is

    Text Solution

    |

  3. The value of sum(k=1)^(6)("sin"(2pik)/(7)-I"cos"(2pik)/(7)) is

    Text Solution

    |

  4. If f(x)={{:(xsin((1)/(x))", if "xne0),(0" , if "x=0):} then at x=0 th...

    Text Solution

    |

  5. If y="tan"^(-1)((cosx-sinx)/(cosx+sinx)), then (dy)/(dx)=

    Text Solution

    |

  6. The differential of e^(x^(3)) with respect to log x is

    Text Solution

    |

  7. If p to(qvvr) is false, then the truth values of p,q,r are respectivel...

    Text Solution

    |

  8. If 5 is one root of the equation |(x,3,7),(2,x,-2),(7,8,x)|=0 then the...

    Text Solution

    |

  9. If veca,vecb,vecc are mutually perpendicular unit vectors then |veca+v...

    Text Solution

    |

  10. If x=2cost+cos2t,y=2 sint-sin2t, then (dy)/(dx) at t=(pi)/(4) is

    Text Solution

    |

  11. The value of int(dx)/(sqrt(2x-x^(2))) is:

    Text Solution

    |

  12. Which of the following functions is a solution of the differential equ...

    Text Solution

    |

  13. y=ae^(mx)+be^(-mx) satisfies which of the following differential equat...

    Text Solution

    |

  14. Solution of the differential equation (dx)/(x)+(dy)/(y)=0 is

    Text Solution

    |

  15. Let the function f:RtoR be defined by f(x)=2x+cosx. Then f

    Text Solution

    |

  16. The perimeter of a sector is p. the area of the sector is maximum when...

    Text Solution

    |

  17. The equation to the tangent to the curve y=be^(x//a) at the point wher...

    Text Solution

    |

  18. The value of intx^(3)logxdx is:

    Text Solution

    |

  19. The value of int(0)^(pi)(dx)/(5+3cosx) is

    Text Solution

    |

  20. The false statement in the following is

    Text Solution

    |