Polar Form Of Complex Numbers Worksheet With Answer Key - Openstax College Page 25
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25OpenStax-CNX module: m49408
25
De nition 2: De Moivre's Theorem
n
formula used to nd the
th power or nth roots of a complex number; states that, for a positive
n
n, z
n
n
integer
is found by raising the modulus to the
th power and multiplying the angles by
De nition 3: modulus
(x, y) ;
the absolute value of a complex number, or the distance from the origin to the point
also
called the amplitude
De nition 4: polar form of a complex number
θ
r;
a complex number expressed in terms of an angle
and its distance from the origin
can be found
2
2
x = rcos θ, y = rsin θ,
r =
x
+ y
by using conversion formulas
and
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