✔ 最佳答案
20(cos334 + isin334)/15(cos199 + isin199)
= 4(cos334 + isin334)[cos(-199) + isin(-199)]/3
= (4/3)[cos(334 - 199) + isin(334 - 199)]
= (4/3)(cos135 + isin135)
= (4/3)(-1/root2 + i/root2)
= -2root2/3 + 2root2i/3
8(cospi/6 + isinpi/6)/2(cospi/6 - isinpi/6)
= 4(cospi/6 + isinpi/6)/[cos(-pi/6) + isin(-pi/6)]
= 4(cospi/6 + isinpi/6)(cospi/6 + isinpi/6)
= 4[cos(pi/6 + pi/6) + isin(pi/6 + pi/6)]
= 4(cospi/3 + isinpi/3)
= 2 + 2root3i
2010-11-08 17:54:59 補充:
第2條既答案有問題,似乎唔係-1/3i