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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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