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If a=cos4pi//3+isin4pi//3" then "(1+a)^(...

If `a=cos4pi//3+isin4pi//3" then "(1+a)^(3n)`

A

`-1`

B

0

C

1

D

`(-1)^(n)`

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DIPTI PUBLICATION ( AP EAMET)-DE MOIVRE'S THEOREM-EXERCISE 1
  1. If alphaandbeta are the roots of x^(2)-2x+4=0, then the value of alpha...

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  2. If x satisfies the equation x^(2)-2xcostheta+1=0, then the value of x^...

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  3. If a=cos4pi//3+isin4pi//3" then "(1+a)^(3n)

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  4. If cosalpha+cosbeta=0=sinalpha+sinbeta" then "cos2alpha+cos2beta

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  5. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma" then "cos3al...

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  6. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma" then "sin3al...

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

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

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

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

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

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

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

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

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

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  16. log(logi)

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  17. sqrti+sqrt(-i)=

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

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

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

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