Tpc 2 Unit 1 Day 3 Multiplying Complex Numbers In Polar Form Worksheet
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5TPC 2 Unit 1 Day 3
Name: ______________
Multiplying Complex Numbers In Polar Form
Follow the step-by-step instructions:
= 1+ i 3
= 2 3 + 2i
1. Multiply z
and z
and call the result z
:
z
and
z
1
2
3
1
2
= (1+ i 3)(2 3 + 2i)
z
3
z
= _____________________
3
a nd
2. Put
z
z
z
into polar form:
,
1
2
3
= 1+ i 3
z
1
z
= ________________________
1
= 2 3 + 2i
z
2
z
= ________________________
2
z
=
3
z
= ________________________
3
3. Do you observe any connection between the r values and the ø values of z
z
and z
?
2
3
1,
___________________________________________________________________
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