APPENDIX H - Complex Numbers - H Exercises - Page A 64: 43

$\frac{1}{2}+\frac{\sqrt{3}}{2}i$

To write the number as $a+bi$, we apply Euler's formula, $e^{iy}=\cos{y}+i\sin{y}$ $e^{i\pi/3}=\displaystyle \cos\frac{\pi}{3}+i\sin\frac{\pi}{3}=\frac{1}{2}+i\frac{\sqrt{3}}{2}=\frac{1}{2}+\frac{\sqrt{3}}{2}i$