Keegan is building a rectangular play area in his back yard for his dog. The length of the rectangle is 30 feet and the width is
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Exercise 1:
The easiest way to compute powers of complex numbers is to write them in the form
In this form, you have
The magnitude of the number is given by
So, we have
As for the angle, we have
So, we have
Finally,
Exercise 2:
You simply have to compute the trigonometric function:
So, we have