Euler's identity is often depicted in the complex plane, with the x-axis being the real axis and the y-axis being the imaginary axis. As you move the slider in the picture below, you can see the complex value of the function [math]e^{i\theta}=cos\theta+isin\theta[/math] for each value [math]-360^\circ\le\theta\le360^\circ[/math]. [br][br]1. Where will [math]e^{i\theta}[/math] take on real values? Look for 5 places in the domain shown here.[br][br]2. Can you picture how this relates to what you saw in the last page? If not, the next slide should clear it up.