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) = 3 sin(t) and echoes the pure note f2(t) = 3 cos(t), then the combined sound is f(t) = f1(t) + f2(t). Find k and ϕ.

Answer 1

To find the combined sound function, add the given functions together.

Step-by-step explanation:

In this question, we are given two pure notes, f1(t) = 3 sin(t) and f2(t) = 3 cos(t), and we are asked to find the combined sound function f(t) = f1(t) + f2(t). To find the combined function, we simply add the two given functions together:

f(t) = f1(t) + f2(t) = 3 sin(t) + 3 cos(t).

Therefore, the combined sound function is f(t) = 3 sin(t) + 3 cos(t).