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Lösung 3.3:1b

Aus Online Mathematik Brückenkurs 2

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First, we write the number 21+i23  in polar form.


Image:3_3_1_b.gif Image:3_3_1_b_text.gif

Thus,


21+i23=1cos3+isin3 


and de Moivre's formula gives


21+i2312=112cos123+isin123=1cos4+isin4=11+i0=1 

Von „http://wiki.math.se/wikis/2009/bridgecourse2-TU-Berlin/index.php/L%C3%B6sung_3.3:1b“