Study GuideTrigonometry–Polar Coordinates and ComplexNumbers1. Geometry of Complex NumbersComplex numbers aren’t just abstract symbols—they can bedrawn, measured, and visualized. Inthis chapter, we’ll explore how complex numbers work geometrically and how to move betweenrectangular and polar forms.1.1What Is a Complex Number?Acomplex numbercan be written in the form•(a) and (b) arereal numbers•(i) is the imaginary unit, where (i2=-1)Every complex number represents apoint in a plane, called thecomplex plane.1.2The Complex PlaneThe complex plane looks like a regular coordinate plane, but with a special meaning:•Thex-axisis called thereal axis•They-axisis called theimaginary axisA complex number (a + bi) is plotted as the point (a, b)Example1:Plotting Complex NumbersPlot the following complex numbers:Preview Mode
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