What is one example of an odd trigonometric function? Show that your function meets the criteria for an odd function.
One example of an odd trigonometric function is $f(x) = \sin(x)$. To show that this function is odd, we need to demonstrate that $f(-x) = -f(x)$ for all $x$.
Using the trigonometric identity $\sin(-x) = -\sin(x)$, we have:
$f(-x) = \sin(-x) = -\sin(x) = -f(x)$
Since $f(-x) = -f(x)$ for all $x$, we can conclude that $f(x) = \sin(x)$ is an odd function.