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If `cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma` then `cos(2alpha-beta-gamma)+cos(2beta-gamma-alpha)+cos(2gamma-alpha-beta)=`

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DIPTI PUBLICATION ( AP EAMET)-DE MOIVRE'S THEOREM-EXERCISE 1
  1. If cosalpha+cosbeta+cosgamma=0=sin alpha+sinbeta+singamma then cos^2al...

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

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  3. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then cos(2alp...

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

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

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

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  7. Let A and B denote the statements A:cosalpha+cosbeta+cosgamma=0" ...

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  8. The value of (i)^(i) is

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  9. log(logi)

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  10. sqrti+sqrt(-i)=

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  11. One value of (1+i)^(1//2) is 2^(1//4)e^(ipi//8).The other value is

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  12. The modulus of sqrt2i-sqrt(-2i) is

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  13. (cos""(pi)/(6)+isin""(pi)/(6))^(1//2)+(cos""(pi)/(6)-isin""(pi)/(6))^(...

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  14. If n is a multiple of 3 then omega^(n) + omega^(2n) =

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  15. (1+omega-omega^(2))(1-omega+omega^(2))

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  16. (2+omega^(2)+omega^(4))^(5)

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  17. (3+5omega+3omega^(2))^(6)

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  18. (1-omega)(1-omega^(2))(1-omega^(4))(1-omega^(5))(1-omega^(7))(1-omega^...

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  19. (1+omega)(1+omega^(2))(1+omega^4)(1+omega^(5))..........2n factors =

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  20. (1+omega)(1+omega^(2))(1+omega^(3))(1+omega^(4))(1+omega^(5))......(1+...

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