Explain how to find the quotient of two complex numbers

zagonek34

zagonek34

Answered question

2022-01-16

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

Answer & Explanation

Jim Hunt

Jim Hunt

Beginner2022-01-17Added 45 answers

Step 1
Let if we have z1=r1(cosθ1+isinθ1) and z2=r2(cosθ2+isinθ2) then quotient is given as:
z1z2=r1r2[cos(θ1θ2)+isin(θ1θ2)]
=r1r2cis(θ1θ2), where z20
Therefore, quotient of two complex numbers in polar form is the quotient of two moduli and the difference of two arguments.
Hence, quotient of two complex numbers in polar form is the quotient of two moduli and the difference of two arguments.

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