Perform the indicated operation:

$7[\mathrm{cos}\left({228}^{\circ}\right)+i\mathrm{sin}\left({228}^{\circ}\right)]\times 8[\mathrm{cos}\left({232}^{\circ}\right)+i\mathrm{sin}\left({232}^{\circ}\right)]$

Chris Cruz
2022-01-17
Answered

Perform the indicated operation:

$7[\mathrm{cos}\left({228}^{\circ}\right)+i\mathrm{sin}\left({228}^{\circ}\right)]\times 8[\mathrm{cos}\left({232}^{\circ}\right)+i\mathrm{sin}\left({232}^{\circ}\right)]$

You can still ask an expert for help

Cleveland Walters

Answered 2022-01-18
Author has **40** answers

Step 1

Topic - complex numbers

$56[\mathrm{cos}\left(460\right)+i\mathrm{sin}\left(460\right)]$

Multiplication of two complex numbers in polar coordinates: multiply the r components and add the$\theta$

Step 2

$7[\mathrm{cos}\left({228}^{\circ}\right)+i\mathrm{sin}\left({228}^{\circ}\right)]\times 8[\mathrm{cos}\left({232}^{\circ}\right)+i\mathrm{sin}\left({232}^{\circ}\right)]$

$=7\times 8[\mathrm{cos}({228}^{\circ}+232)+i\mathrm{sin}({228}^{\circ}+{232}^{\circ})]$

$=56[\mathrm{cos}\left({460}^{\circ}\right)+i\mathrm{sin}\left({460}^{\circ}\right)]$

Answer:$56[\mathrm{cos}\left({460}^{\circ}\right)+i\mathrm{sin}\left({460}^{\circ}\right)]$

Topic - complex numbers

Multiplication of two complex numbers in polar coordinates: multiply the r components and add the

Step 2

Answer:

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