Question H:
Let’s keep using the AM-radio style signal from Question G: f(x)= sin(12x) * sin(x) on [0,2*pi].
It’s okay to use Wolfram Alpha or Desmos to do the followingintegrals.
i)
Integral | Numeric result |
(1/pi)*integral of f(x)*cos(1x) dx from 0 to 2pi | |
(1/pi)*integral of f(x)*cos(2x) dx from 0 to 2pi | |
Etc., with cos(3x) | |
...cos(4x)... | |
...cos(5x)... | |
...cos(6x)... | |
...cos(7x)... | |
...cos(8x)... | |
...cos(9x)... | |
...cos(10x)... | |
...cos(11x)... | |
...cos(12x)... | |
...cos(13x)... | |
...cos(14x)... | |
ii) What do you get if you graph 0.5*cos(11x)+-0.5*cos(13x)?
