复数的三角与指数表示 — 数学选择题
题目
将复数 z = √3 − i 化为三角表示与指数表示,并写出其辐角主值,正确的是( )
A. z = 2·e^(−iπ/6),arg z = −π/6,三角式为 2[cos(−π/6)+i·sin(−π/6)]
B. z = 2·e^(i·11π/6),arg z = 11π/6,三角式为 2[cos(11π/6)+i·sin(11π/6)]
C. z = 2·e^(iπ/6),arg z = π/6,三角式为 2[cos(π/6)+i·sin(π/6)]
D. z = 2·e^(−iπ/3),arg z = −π/3,三角式为 2[cos(−π/3)+i·sin(−π/3)]