计算2i/3(cos5兀/4十isin5兀/4)

分类: 作业答案 • 2021-12-19 15:48:31

问题描述：

答

=2(cosπ/2+isinπ/2)/3(cos5π/4+isin5π/4)
=2/3·[cos(π/2-5π/4)+isin(π/2-5π/4)]
=2/3·[cos(-3π/4)+isin(-3π/4)]
=-√2/3·(1+i)