Question

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

Answer 1

The given complex expression is:

`(-8i)/(4+5i)`

Rationalize the denominator

This gives

`\begin{gathered} (-8i)/(4+5i)*(4-5i)/(4-5i) \\ =(-32i-40)/(16+25) \\ =-(40)/(41)-(32i)/(41) \end{gathered}`