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Perform the following division and write the quotient in trigonometric form. Write the magnitude in exact form. Write the argument in radians and round it to twodecimal places if necessary.-3 - 6i6 + 4i

Perform the following division and write the quotient in trigonometric form. Write-example-1
User Sam Gleske
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1 Answer

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To perform the division of complex numbers, we have to multiply by the unitary conjugate of the denominator. In this case we would have the following:


\begin{gathered} (-3-6i)/(6+4i)*(6-4i)/(6+4i)=((-3-6i)(6-4i))/((6)²-(4i)²)=(-18+12i-36i+24i²)/(36-16i²) \\ =(-42-24i)/(52) \end{gathered}

therefore, the result of the division is -42/52 -24/52i

User Old Nick
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