Complex Numbers Worksheet With Answers Page 3
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2
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10a) 5
b) √5
c) 3
d) 4
Polar form of a complex number
Plot z then write z in polar form. Express the argument in
z = r
(cosθ
+ i
sinθ)
radians.
A)
z = 1 − i√3
−
where
a = r
cos θ and b
= r
sinθ
and
b
t
an θ
=
a
The value of r is called the
modulus (plural modulii) of
the complex number z
and the angle is called
θ
the argument of the
complex number z
Plot z then write z in polar form. Express the argument in radians.
A)
z = 2 − 2
−
i
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