Question

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

Answer 1

is this precalc or calculus?

Answer 2

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

Answer 3

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

Answer 4

\(\color{blue}{\text{Originally Posted by}}\) @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

Answer 5

Thank you! it did help!

Answer 6

You're welcome!