Find the product of the complex numbers

Quinn Dean

Quinn Dean

Answered question

2022-04-08

Find the product of the complex numbers z1=1+i and z2=2+2i. Leave answers in polar form.

Answer & Explanation

shanna87mn

shanna87mn

Beginner2022-04-09Added 19 answers

Step 1
First multiply the given complex numbers.
z1×z2=(1+i)(2+2i)
=2+2i+2i2
=4i
Obtain r.
r=42
r=4
Step 2
Obtain θ
θ=tanyx
=tan1(40)
=π2
Thus, z=(4cosπ2, 4sinπ2)

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