function...either, odd or neither

[lewch45]

I have 2 problems that I'm not sure how to solve. The directions say to determine whether the function defined by each equation is even, odd or neither.

(1) c(x)= cos x/x, x cannot = 0

(2) w(x)= x tan x

Can someone please help me solve these? Thanks in advance.

 

[pka]

\(\displaystyle \L
\begin{array}{l}
\frac{{\cos ( - x)}}{{ - x}} = \frac{{\cos (x)}}{{ - x}} = - \frac{{\cos (x)}}{x} \\
\\
\left( { - x} \right)\left( {\tan ( - x)} \right) = \left( { - x} \right)\left( { - \tan (x)} \right) = x\tan (x) \\
\end{array}\)