Recent content by luckyduck

I keep getting weird numbers. Problem doesn't state any restrictions!

Homework Statement -\frac{1}{2}[cos(\frac{\pi+\pi n}{\pi+\pi n}) + cos(\frac{\pi-\pi n}{\pi-\pi n})] Homework Equations cos(u)cos(v) = \frac{1}{2} cos(u+v)+cos(u-v) The Attempt at a Solution I am attempting to use the above trig function to simplify the first function, but I can't seem to...

Homework Statement How do I integrate this easily? \frac{2}{T}\int^{T/2}_{0}sin(120\pi t)cos(120\pi n t) Homework Equations The Attempt at a Solution I used Wolfram Alpha to integrate this, but are there ways to use substitution or another trick instead?

Duh! Brain fart. Sorry, I don't have a text for this class, so I've been relying on google. Thanks again for your help!

Also, would this mean that the function is now odd?

Thank you! By half range, do you mean integrating between 0 and 30?

Homework Statement A sensor yields a signal y(t) = |sin(120\pit)| a. Using Fourier analysis please construct an amplitude spectrum for this signal. Homework Equations A0 = \frac{1}{T}\int ^{-T/2}_{T/2}y(t) dt An =\frac{2}{T}\int^{-T/2}_{T/2}y(t)cos\frac{2n\pi t}{T}dt The Attempt at...