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The values of sum(m=1)^(10)[sin(2pim...

The values of
`sum_(m=1)^(10)[sin(2pim//11)-icos(2pim//11)]` is

A

i

B

`-i`

C

1

D

-1

Text Solution

Verified by Experts

The correct Answer is:
A
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AAKASH SERIES-DEMOIVRE'S THEOREM-PRACTICE EXERCISE
  1. The continued product of all values of root(5)(4) is

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  2. sum(r=1)^(8)[sin(2pir//9)+icos(2pir//9)]=

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  3. The values of sum(m=1)^(10)[sin(2pim//11)-icos(2pim//11)] is

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  4. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then sin3alph...

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  5. If cos alpha+cos beta+cos gamma=0 & sin alpha +sin beta +sin gamma=0. ...

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  6. If cos alpha+cosbeta+cosgamma = 0 = sinalpha + sinbeta + singamma then...

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  7. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then sin(2alp...

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  8. If cosalpha+cosbeta+cosgamma=0=sin alpha+sinbeta+singamma then cos^2al...

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  9. If cosalpha+coabeta+cosgamma=0=sinalpha+sinbeta+singamma then cos(alph...

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  10. If a=cisalpha,b=cisbeta,c=cisgamma, and a/b+b/c+c/a-1=0 then cos(alph...

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  11. If A+B+C= pi and cos A+cos B+cos C=0=sin A+sin B+sin C , then sin 3A+...

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  12. The cube roots of 1+I are

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  13. The values of (sqrt3+i)^(1//4) are

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  14. The values of (1+i)^(2//3) are

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  15. All the values of (-i)^(1//3) are given by

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  16. If x^4-1=0 then x=

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  17. Solve x^9-x^5+x^4-1=0

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  18. 1,alpha1,alpha2,alpha3…..alpha(n-1) are the n^(th) roots of unity and ...

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  19. If 1,alpha,alpha^2,…...,alpha^(n-1) are the n^(th) roots of unity, the...

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  20. A : (1+i)^(6)+(1-i)^(6)=0 R : If n is a positive integer then (1+i)^...

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