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

##### 1 Answer
Apr 1, 2017

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

#### Explanation:

Since the period of $\sin \left(x\right)$ is $2 \pi$, the period of $4 \sin \left(3 t\right)$ is {2pi}/{3 }, and the period of $3 \sin \left(\sqrt{3} t\right)$ is $\frac{2 \pi}{\sqrt{3}}$. 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, $h \left(t\right)$ is not periodic.