How can I show that the function: y=sin^3(x) is periodic and find its period?

Question

How can I show that the function: y=sin^3(x)  is periodic and find its period?

inkyvoyd · Answer

is this precalc or calculus?

anonymous · Answer

Try rewriting it as a linear combination of sines and cosines. If each term is periodic, then this function is also periodic.

inkyvoyd · Answer

I think rewriting it as y=(sin x)(sin^2 x) may be helpful

anonymous · Answer

$\color{blue}{\text{Originally Posted by}}$ @SithsAndGiggles And to find the actual period, examples 7 and 8 in this link do a great job of explaining it. $\color{blue}{\text{End of Quote}}$ http://www.theopencurriculum.org/articles/trigonometry/?q=properties-of-graphs-of-trigonometric-functions

anonymous · Answer

Thank you! it did help!

anonymous · Answer

You're welcome!