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 (a, b). However, in place of an x-axis, we have a real axis, and in place of a y-axis, we have an imaginary axis. Horizontal ...

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