De n-de macht van een complex getal: oplossingen
Bereken.
| a) |
[2(cos15°+isin15°)]5 = |
32(cos75°+isin75°) |
| b) |
[3(cos30°+isin30°)]2 = |
9(cos60°+isin60°) |
| c) |
[4(cos60°+isin60°)]3 = |
64(cos180°+isin180°) = -64 |
| d) |
[3(cos80°+isin80°)]4 = |
81(cos320°+isin320°) |
| e) |
(cos15°+isin15°)7 = |
cos105°+isin105° |