8.3 Polar Form of Complex Numbers

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Presentation transcript:

8.3 Polar Form of Complex Numbers

Complex #: a + bi Where a is the real number part and bi is the imaginary number part.

Complex Plane Graph: 2 + 3i 3 – 2i Think about it like: (2,3i) (3,-2i)

Distance between point and the origin Absolute Value of a complex number z = a + bi (modulus) is: Distance between point and the origin Pythagorean Theorem

Find modulus: 3 + 4i -7 + 24i

If z = a + bi and we connect that point to the origin, we get:

Therefore:

Write in polar form: 1 + i 3 + 4i

Write in polar form:

Express in rectangular form (keep going!)

Homework pg 603 #1-7, 26-48 even