6. Show that the magnitude of the signal (assume a + b)

f(t) = elat + ejbt

is |f (t) = 2 |cos (at).

Assume, a = 2 and b = 3. Plot |f (t) for t € [-π 3n].

What is the period of If (t)|?

Determine the average power of f(t) using the formula, P, = |D₂|² + |D₂|².

Repeat employing the definition of average power,

플

P₁ = = [1 f(t)1² dt

Hint: you can save a lot of trigonometry in finding If (t)| if you employ Euler's identity

after expressing f(t) as

f(t) = ejat + eibt = (el²³¹ +e-²1²7 ²² ) e