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Perform the following division and write the quotient in trigonometric form. Write the magnitude in exact form. Write the around it to two decimal places if necessary.8i4 + 5i

Perform the following division and write the quotient in trigonometric form Write the magnitude in exact form Write the around it to two decimal places if neces class=

Respuesta :

SOLUTION

The given complex expression is:

[tex]\frac{-8i}{4+5i}[/tex]

Rationalize the denominator

This gives

[tex]\begin{gathered} \frac{-8i}{4+5i}\times\frac{4-5i}{4-5i} \\ =\frac{-32i-40}{16+25} \\ =-\frac{40}{41}-\frac{32i}{41} \end{gathered}[/tex]

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