Mathematical Modelling
Mathematical Modelling
Mathematical Modelling
SHOW LESS
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Inleiding Complexe getallen; review Complexe functies<br />
Huiswerk<br />
Vind de polaire vorm van z = −1+√ 3i.<br />
2+2i<br />
ofwel<br />
z = −1 + √ 3i<br />
2 + 2i<br />
· 2 − 2i<br />
2 − 2i = (−2 + 2√ 3) + i(2 √ 3 + 2)<br />
8<br />
z = r exp(iφ) = r(cos φ + i sin φ)<br />
met r 2 = 1 64 (16 − 8√ 3 + 16 + 8 √ 3) = 1 2 : r = 1 2√<br />
2, en<br />
tan φ = 2√ 3 + 2<br />
2 √ 3 − 2 · 2√ 3 + 2<br />
2 √ 3 + 2 = 16 + 8√ 3<br />
8<br />
= 2 + √ 3<br />
→ φ = arctan(2 + √ 3)(= 75 o )
Change language