Perform the indicated operation: 7[\cos(228^{\circ})+i\sin(228^{\circ})]\times8[\cos(232^{\circ})+i\sin(232^{\circ})]

Chris Cruz 2022-01-17 Answered
Perform the indicated operation:
7[cos(228)+isin(228)]×8[cos(232)+isin(232)]
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Expert Answer

Cleveland Walters
Answered 2022-01-18 Author has 40 answers
Step 1
Topic - complex numbers
56[cos(460)+isin(460)]
Multiplication of two complex numbers in polar coordinates: multiply the r components and add the θ
Step 2
7[cos(228)+isin(228)]×8[cos(232)+isin(232)]
=7×8[cos(228+232)+isin(228+232)]
=56[cos(460)+isin(460)]
Answer: 56[cos(460)+isin(460)]
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