Math  /  Algebra

QuestionConvert the complex number to polar form: 44i4-4 i

Studdy Solution
Express the complex number in polar form using the magnitude and argument:
The polar form is given by:
44i=42(cos(π4)+isin(π4)) 4 - 4i = 4\sqrt{2} \left( \cos\left(-\frac{\pi}{4}\right) + i\sin\left(-\frac{\pi}{4}\right) \right)
The polar form of the complex number 44i 4 - 4i is:
42cis(π4) 4\sqrt{2} \text{cis} \left(-\frac{\pi}{4}\right)

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