How do you determine if $\frac{sin x}{x}$ $sin x/x$ is an even or odd function?

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Answer 1 · 2018-03-17T10:38:39

even

$f (x) is odd \Rightarrow f (- x) = - f (x)$ $f(x)" is odd "=>f(-x)=-f(x)$

$f (x) is even \Rightarrow f (- x) = f (x)$ $f(x)" is even "=>f(-x)=f(x)$

$f (x) = \frac{sin x}{x}$ $f(x)=sinx/x$

$f (- x) = \frac{sin (- x)}{- x}$ $f(-x)=sin(-x)/(-x)$

$f (- x) = \frac{- sin x}{- x}$ $f(-x)=(-sinx)/-x$

$= \frac{sin x}{x} = f (x)$ $=sinx/x=f(x)$

$:." even"$

How do you determine if sin x/xsinxxsin x/x is an even or odd function?