Question

A digital delay device echoes an input signal by repeating it a fixed length of time after it is received. If such a device receives the pure note f₁(t) = 6 sin(t) and echoes the pure note f₂(t) = 6 cos(t), then the combined sound is f(t) = f₁(t) + f₂(t).

a) Graph y = f(t) and observe that the graph has the form of a sine curve y = k sin(t+ϕ).

b) Find k and ϕ.

Answer 1