Explain how to find the product of two complex numbers

Jessica Collier

Jessica Collier

Answered question

2022-02-01

Explain how to find the product of two complex numbers in polar form.

Answer & Explanation

Joel Molina

Joel Molina

Beginner2022-02-02Added 9 answers

Concept:
The calculus helps in understanding the changes between values that are related by a function. It is used in
different areas such as physics, biology and sociology and so on. The calculus is the language of engineers,
scientists and economics.
Given:
The objective is to find the product of two complex numbers in polar form
It is known that if z1=5(cosθ1+isinθ1 and z2=r2(cosθ2+isinθ2)
are the two complex numbers,
then their product z1z2 is r1r2[cos(θ1+θ2)+isin(θ1+θ2)]
On considering the two complex numbers
z1=6(cos20+isin20) and z2=5(cos50+isin50)
Here,
r1=6,r2=5,θ1=20,θ2=50
r1r2[cos(20+50)+isin(20+50)]=30(cos70+isin70)

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