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DIPTI PUBLICATION ( AP EAMET)-DE MOIVRE'S THEOREM-EXERCISE 1
- If a=cos4pi//3+isin4pi//3" then "(1+a)^(3n)
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- If cosalpha+cosbeta=0=sinalpha+sinbeta" then "cos2alpha+cos2beta
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- If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma" then "cos3al...
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- If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma" then "sin3al...
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- If cos alpha+cosbeta+cosgamma = 0 = sinalpha + sinbeta + singamma then...
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- If cosalpha+cosbeta+cosgamma=0=sin alpha+sinbeta+singamma then cos^2al...
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- If cos alpha+cosbeta+cosgamma = 0 = sinalpha + sinbeta + singamma then...
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- If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then cos(2alp...
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- If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then sin(2alp...
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- If cosalpha+coabeta+cosgamma=0=sinalpha+sinbeta+singamma then cos(alph...
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- If a=cisalpha,b=cisbeta,c=cisgamma, and a/b+b/c+c/a-1=0 then cos(alph...
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- Let A and B denote the statements A:cosalpha+cosbeta+cosgamma=0" ...
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- The value of (i)^(i) is
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- log(logi)
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- sqrti+sqrt(-i)=
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- One value of (1+i)^(1//2) is 2^(1//4)e^(ipi//8).The other value is
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- The modulus of sqrt2i-sqrt(-2i) is
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- (cos""(pi)/(6)+isin""(pi)/(6))^(1//2)+(cos""(pi)/(6)-isin""(pi)/(6))^(...
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- If n is a multiple of 3 then omega^(n) + omega^(2n) =
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- (1+omega-omega^(2))(1-omega+omega^(2))
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