Question

How do you find the period of `h(t) = 4*sin(3t) + 3*sin(tsqrt3)`?

Answer 1

h(t) is not periodic, so you cannot find it.

Explanation:

Since the period of `sin(x)` is `2pi`, the period of `4sin(3t)` is `{2pi}/{3 }`, and the period of `3sin(sqrt{3}t)` is `{2pi}/sqrt{3}`. The period of the sum of those two periodic function would be the least common multiple of the two periods; however, there is no such common multiple. Hence, `h(t)` is not periodic.