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February 15, 2012




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February 15, 2012




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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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