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Complex question (Di Moivre theorem), Exercises of Complex analysis

Al-Aqsa UniversityComplex analysis

Complex question (Di Moivre theorem)

Typology: Exercises

2017/2018

Uploaded on 02/04/2018

OSAMA-ALSATTARI
OSAMA-ALSATTARI 🇵🇸

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Prove that (1+ i)* = —4 olution: swe know, @ = tan! -) jie y? +e se x Thus, = Z oi V2 Now, apply de Moivre theorem (r(cos@ + isin@))" = an rest ne) + isin(n@)) fs V2 (cos (5) tg isin (— ")) = = (v2) (cos() + isin(1)) = 4(-1)=—- Ss aconsequence,(1+i)* = —4