8.3 Complex Numbers: Trigonometric Notation

Graph complex numbers.

Given a complex number in standard notation, find trigonometric, or polar, notation; and given a complex number in trigonometric notation, find standard notation.

Use trigonometric notation to multiply and divide complex numbers.

Use DeMoivre’s theorem to raise complex numbers to powers.

Find the nth roots of a complex number.
Graphical Representation
Just as real numbers can be graphed on a line, complex numbers can be graphed on a plane. We graph a complex number $a+bi$ in the same way that we graph an ordered pair of real numbers $\left(a,\text{}b\right)$. However, in place of an xaxis, we have a real axis, and in place of a yaxis, we have an imaginary axis. Horizontal ...
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