Complex Analysis: Theory and Applications · Problem 1.4.5

Complex Numbers — Howell & Matthews

Mathematics — Complex Analysis · exponential-form-cartesian

Problem

Express the following in a+iba + ib form. (a) eiπ2e^{i\frac{\pi}{2}}. (b) 4e−iπ24e^{-i\frac{\pi}{2}}. (c) 8ei7π38e^{i\frac{7\pi}{3}}. (d) −2ei5π6-2e^{i\frac{5\pi}{6}}. (e) 2ie−i3π42ie^{-i\frac{3\pi}{4}}. (f) 6ei2π3eiπ6e^{i\frac{2\pi}{3}}e^{i\pi}. (g) e2eiπe^2 e^{i\pi}.

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