Find the product of the complex numbers z_{1} = \cos

Vofteldetgpt

Vofteldetgpt

Answered question

2022-03-02

Find the product of the complex numbers z1=cosπ4+isinπ4 andz2=cosπ3+isinπ3. Leave answers in polar form.

Answer & Explanation

chung001vba

chung001vba

Beginner2022-03-03Added 6 answers

To find the product of the complex numbers
z1=cosπ4+isinπ4
z2=cosπ4+isinπ3
using identities
cosAcosBsinAsinB=cos(A+B)
cosAsinB+sinAcosB=sin(A+B)
z1×z2=cos(π4+π3)+isin(π4+π3)
z1×z2=cos7π12+isin7π12

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