Question

State each of the following periodic functions as a sum of simple harmonic functions.

sin (7t)cos (6t)=

Answer 1

The given periodic function sin(7t)cos(6t) can be expressed as a sum of two simple harmonic functions with frequencies of 13t and t.

Step-by-step explanation:

The given periodic function sin(7t)cos(6t) can be expressed as a sum of simple harmonic functions.

We know that sin(A)cos(B) = 1/2(sin(A+B) + sin(A-B)).

Using this formula, we can rewrite the given function as:

sin(7t)cos(6t) = 1/2(sin(7t+6t) + sin(7t-6t))

Therefore, the given periodic function can be expressed as the sum of two simple harmonic functions, with frequencies of 13t and t.