Analysis and Approaches for IBDP Maths Ebook 2 | Page 111
Chapter
9
Complex Numbers
�
�
SUMMARY POINTs
Terminologies of complex numbers:
i�
� 1: Imaginary unit
z �a � bi : Complex number in Cartesian form
a : Real part of z
b : Imaginary part of z
*
z �a � bi : Conjugate of z �a � bi
2 2
z � r � a � b : Modulus of z �a � bi
arg( z)
��
� arctan b : Argument of z �a � bi
a
Properties of Argand diagram:
1. Real axis: Horizontal axis
2. Imaginary axis: Vertical axis
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