Euler's Identity

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  for each value . 1. Where will  take on real values? Look for 5 places in the domain shown here. 2. Can you picture how this relates to what you saw in the last page? If not, the next slide should clear it up.