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试题ID 40888    所属试卷 复数与复变函数单元训练

试题
$\sqrt[4]{\mathrm{i}}=(\quad)$.
$\text{A.}$ $\cos \frac{\frac{\pi}{2}+2 k \pi}{4}+\mathrm{i} \sin \frac{\frac{\pi}{2}+2 k \pi}{4}(k=0,1,2,3)$ $\text{B.}$ $\sin \frac{\frac{\pi}{2}+2 k \pi}{4}+\mathrm{i} \cos \frac{\frac{\pi}{2}+2 k \pi}{4}(k=0,1,2,3)$ $\text{C.}$ $\cos \frac{\pi}{8}+\mathrm{i} \sin \frac{\pi}{8}$ $\text{D.}$ $\cos \frac{\frac{\pi}{2}+k \pi}{4}+\mathrm{i} \sin \frac{\frac{\pi}{2}+k \pi}{4}(k=0,1,2,3)$ $\text{E.}$ $\text{F.}$

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