Complex Numbers Worksheet With Answers Page 4
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105π
5π
a)
2√2
(cos
+ i
sin )
4
4
Writing Complex Numbers in Polar form
Write the following in rectangular form
z = r
(cosθ
+ i
sinθ)
o
o
A)
z = 4
(cos 30
+ i
sin30 )
where
b
a = r
cos θ and b
= r
sinθ
and
t
an θ
=
a
The value of r is called the
modulus (plural modulii) of the
complex number z
and the angle is called the
θ
argument of the complex number
z
Write the following in rectangular form
o
o
A)
z = 2
(cos 60
+ i
sin60 )
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