## Calculus: Early Transcendentals 8th Edition

$2(cos(\frac{5\pi}{3})+isin(\frac{5\pi}{3}))$
First calculate the modulus of the complex number with the rule $|z|=\sqrt{x^2 + y^2}$, so $\sqrt{1^2 + (-\sqrt{3})^2} = 2$. Thereafter determine the angle between the line and the positive x-axis in counter-clockwise direction. The real part (x-axis) is positive and the imaginary part (y-axis) is negative and $sin(\theta)=-\sqrt{3}$ so $\theta = \frac{5\pi}{3}$.