The document is a lesson plan on complex numbers in trigonometric form. It includes examples of converting between trigonometric and rectangular forms, finding magnitudes and inclinations of complex numbers, multiplying and dividing complex numbers in trigonometric form. Students are assigned problems from their textbook involving these concepts. The objectives are to convert between forms and multiply/divide complex numbers in trigonometric form.

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6.5 Complex Numbers in
Trigonometric Form
Objectives:
1﴿ Convert complex numbers to trig form
and vice versa
2﴿ Multiply/Divide complex numbers in trig
form.
Standard: Math Analysis 2.0
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Ex. 1﴿ Given: –2+4i
a﴿ Graph
b﴿ |–2+4i|
c﴿ Find the inclination
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Ex. 2﴿ Given r=5 and θ=142°, find the
complex number a+bi at the same location.
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Trig Form Complex Form
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Ex. 3﴿ Write 6–6i in trig form.
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Ex. 4﴿ Write as a complex number.
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Multiplying Complex Numbers in
Trig Form
Standard Form: ﴾a+bi﴿﴾a+bi﴿ = FOIL
Trig Form:
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Ex. 5﴿ Find z1z2.
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Dividing Complex Numbers in
Trig Form
Standard Form: ﴾a+bi﴿÷﴾a+bi﴿
= multiply by conjugate
Trig Form:
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Ex. 6﴿ Find
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Assignment:
6.5A p. 478 #12­39
﴾mult. of 3﴿, 47­57
﴾odd﴿
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