Solutions to Exercises in Chapter 1

Solution to Exercise 1.4.1

$As\ cos(\alpha +\beta)=cos(\alpha)cos(\beta)-sin(\alpha)sin(\beta),cos(2\pi(f+1)n)=cos(2\pi fn)cos(2\pi n)-sin(2\pi fn)sin(2\pi n)=cos(2\pi fn)$

Solution to Exercise 1.4.2

A square wave takes on the values 1 and −1 alternately. See the plot in the module Square Wave

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