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DE MOIVRE'S THEOREM
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DIPTI PUBLICATION ( AP EAMET)-DE MOIVRE'S THEOREM-EXERCISE 1
- (cosalpha+isinalpha)^(5)/((sinbeta+icosbeta)^(3))=
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- (1-costheta+isintheta)/(1+costheta-isintheta)
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- ((1+costheta+isintheta)/(1+costheta-isintheta))^(n)
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- (sinx+icosx)^(n)
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- (1+sintheta+icostheta)^(n)
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- (1+costheta-isintheta)^(n)
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- (1-costheta+isintheta)^(6)
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- (1+i)^(4)
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- (1+isqrt3)^(9)=
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- (1-i)^(5)
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- (cos75^(@)+isin75^(@))/(cos30^(@)+isin30^(@))
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- ((1)/(2)+sqrt(3)/(2)i)^(6)
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- If ((1+costheta+isintheta)/(sintheta+i+icostheta))^(4)=cosntheta+isinn...
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- ((1+cos""(pi)/(8)-isin""(pi)/(8))/(1+cos""(pi)/(8)+isin""(pi)/(8)))^(8...
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- [(1+sin(pi//8)+icos(pi//8))/(1+sin(pi//8)-icospi//8)]^(-8//3)
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- ((sinpi//8+icospi//8)/(sinpi//8-icospi//8))^(8)
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- ((1+sintheta+icostheta)/(1+sintheta-icostheta))^(n)
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- If n is a positive integer, show that (1 + i)^(n) + (1 - i)^(n)...
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- (1+i)^(5)+(1-i)^(5)
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- (sqrt3+i)^(7)+(sqrt3-i)^(7)
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