# Sketch the following Signal: $x(t)=3\sin(\frac{\pi t}{4})$ [closed]

I feel kind of overwhelmed by it, and would like someone to walk me through the steps of sketching the signal.

• This is just asking how to plot a function. I'm really not sure whether this is on-topic here; do you know how to plot a function? – Marcus Müller Dec 18 '18 at 11:50

From your physics knowledge you get that sine waves are usually equated, in the general case, as

$$y(t) = A * \sin(\omega t)$$

where $$\omega = 2 \pi f$$ and the periodicity is $$T=1/f$$

Comparing the general equation with your particular case, you have: $$2*\pi*f = \pi / 4$$ meaning that $$f=1/8 Hz$$ or $$T=1/f=8s$$ The amplitude is $$A=3$$

If you want to plot it in matlab, for example, just write

t = 0:0.01:16;
x = 3*sin(pi*t/4);
plot(x,t)


As a final comment, this is really a basic question and you should carefully read your textbook if you want to progress to more advanced topics.

• The period of your signal $y(t)$ isn't $2\pi$, but it is $1/f$. – Matt L. Dec 18 '18 at 12:23
• I've just updated the answer. Thank you for the heads-up Matt. – Filipe Pinto Dec 21 '18 at 10:12