Bewerkingen met complexe getallen in de goniometrische vorm: oplossing
1) Bereken.
| a) |
7(cos15°+isin15°) . 3(cos20°+isin20°) = |
21(cos35°+isin35°) |
| b) |
12(cos100°+isin100°) : 4(cos30°+isin30°) = |
3(cos70°+isin70°) |
| c) |
[2(cos40°+isin40°)]5 = |
32(cos200°+isin200°) |
| d) |
18(cos150°+isin150°) : 3(cos60°+isin60°) = |
6(cos90°+isin90°) = 6i |
| e) |
[6(cos15°+isin15°)]2 = |
36(cos30°+isin30°) |
| f) |
2(cos40°+isin40°) . 5(cos140°+isin140°) = |
10(cos180°+isin180°) = -10 |