Find the product of the complex numbers.Leave answers in polar

Karen Simpson

Karen Simpson

Answered question

2022-01-18

Find the product of the complex numbers.Leave answers in polar form.
z1=4(cos15+isin15)
z2=7(cos25+isin25)

Answer & Explanation

Beverly Smith

Beverly Smith

Beginner2022-01-19Added 42 answers

Step 1
z1z2=[4(cos15+isin15)][7(cos25+isin25)]
=28[(cos15cos25sin15sin25)+i(sin15cos25+cos15sin25)]
=28[(cos(15+25)+isin(15+25)]
z1z2=28[cos40+isin40]
z1z2=28ei40

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