*DeMoivre's Theorem is a generalized formula to compute powers of a complex number in it's polar form.
*DeMoivre's Theorem is a generalized formula to compute powers of a complex number in it's polar form.
*i'is the imaginary unit, <math>i=sqrt(-1</math>.
*i'is the imaginary unit, <math>i=sqrt(-1</math>.
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*Then the power of a complex number is defined by <math>(z)^n=(x+iy)^n=r^n*e^inθ=r^n(cosnθ+isinnθ)</math> where <math>r=sqrt(x^2+y^2)</math> and <math>θ=tan^-1(y/x)</math>, θ∈(is belongs to) (-Pi(),Pi()].
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*Then the power of a complex number is defined by <math>(z)^n=(x+iy)^n=r^n*e^{inθ}=r^n(cosnθ+isinnθ)</math> where <math>r=sqrt(x^2+y^2)</math> and <math>θ=tan^-1(y/x)</math>, θ∈(is belongs to) (-Pi(),Pi()].
*This formula is called DeMoivre's theorem of complex numbers.
*This formula is called DeMoivre's theorem of complex numbers.
*We can use COMPLEX function to convert real and imaginary number in to a complex number.
*We can use COMPLEX function to convert real and imaginary number in to a complex number.