# How is the following function an odd function? $S(x) = \sin x/x$, $x \neq 0$

How is the following function an odd function? $S(x) = \frac{\sin x}{x}$, $x \neq 0$

I get $$\frac{\sin(-x)}{-x} = \frac{\sin x}{x}$$

which is even right? because $S(-x) = S(x)$?

So unless the book is wrong, what am I doing wrong?

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It is indeed even. –  mrf Feb 8 '13 at 7:00
Ha, okay, sorry to bother!! Thanks for the confirmation! –  KKendall Feb 8 '13 at 7:04

You are correct to say that $\frac{\sin x}{x}$ is an even function.
Here, both $\sin x$ and $x$ are odd, so their quotient is even.