Hello, Trying to solve a complex trig problem

Question

I am trying to understand and solve this problem. If anyone is willing to help out I appreciate you! :) Problem: Choose a value of w between 0.01 and 0.05 and again plot the graph of $f(t) = \sin(2\pi t) + \sin(2\pi (1 + w) t)$, but this time also include the graph of the envelope $\sin x + \sin y = 2 \sin ((x + y) / 2) \cos ((x - y) / 2)$ (found using the sum to product formula) and -1 times the envelope, all in the same picture. Include the plot with your solutions.

Answer 1

I think what they want you to do is to graph ... $$ f(t)=sin(2\pi t)+sin(2 \pi t (1+\omega)) $$

$$g(t)= 2 cos(\pi \omega t) $$

$$h(t)= -2 cos( \pi \omega t) $$

on the same axes, your graph should end up looking like this $(\omega = 0.03)$ ...