For z
n
to be real/imaginary
Given arg z =
π/12
π/6
π/4
π/3
5π/12
π/2
7π/12
2π/3
3π/4
5π/6
11π/12
For z
n
to be
real
purely imaginary
real and positive
real and negative
= yi, y > 0
= yi, y < 0
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