Perform the indicated operation: 7[cos⁡(228∘)+isin⁡(228∘)]×8[cos⁡(232∘)+isin⁡(232∘)]

Question

Perform the indicated operation:  7[cos⁡(228∘)+isin⁡(228∘)]×8[cos⁡(232∘)+isin⁡(232∘)]

Cleveland Walters · Accepted Answer

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∘)]

Perform the indicated operation: 7[cos⁡(228∘)+isin⁡(228∘)]×8[cos⁡(232∘)+isin⁡(232∘)]

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Answer & Explanation