How do you divide −7i−39i−4 in trigonometric form?

1 Answer
Jacob T.
May 22, 2017

√562697⋅cis(132.84o)=−5197+5597⋅i

Explanation:

To evaluate the division in trig. Form, first you convert the numerator and denominator to polar form:
The numerator in polar form: −7⋅i−3=√58⋅cis(−113.20o)
The denominator in polar form: 9⋅i−4=√97⋅cis(113.96o)

Then evaluate the division:
−7i−39i−4
=(√58√97)⋅cis(−113.20o−113.96o)
=√562697⋅cis(132.84o)

Convert back to rectangular form:
=−5197+5597⋅i

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