Solve the problem.A product of two oscillations with different frequencies such as  f(t) = sin (10t) sin(t)is important in acoustics. The result is an oscillation with "oscillating amplitude." the product f(t) of the two oscillations as a sum of two cosines and call it g(t). a graphing utility, graph the function g(t) on the interval 0 ? t ? 2?. the same system as your graph, graph y = sin t and y = -sin t.

src="https://sciemce.com/media/4/ppg__ttt0527191152__f1q36g4.jpg" alt="" style="vertical-align: -4.0px;" /> last two functions constitute an "envelope" for the function g(t). For certain values of t, the two cosine functions in g(t) cancel each other out and near-silence occurs; between these values, the two functions combine in varying degrees. The phenomenon is known (and heard) as "beats." For what values of t do the functions cancel each other?

What will be an ideal response?

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(i)	g(t) =  cos(9t) -  cos(11t)

(ii), (iii)
  
(iv) t = , n any integer

Mathematics