even/odd trig functions

**live_laugh_luv27** · August 9th 2009, 07:23 AM

How can I tell if each of these functions are even or odd?

$f(x) = \sin{x}$
$f(x) = \cos{x}$
$f(x) = \tan{x}$
$f(x) = \sec{x}$

**Plato** · August 9th 2009, 07:39 AM

Originally Posted by live_laugh_luv27

How can I tell if each of these functions are even or odd?

$f(x) = \sin{x}~\color{blue}\text{odd}$
$f(x) = \cos{x}~\color{blue}\text{even}$
$f(x) = \tan{x}~\color{blue}\text{odd}$
$f(x) = \sec{x}~\color{blue}\text{even}$

You may just have to know these.
We can graph each.
If the graph is symmetric about the y-axis, the function is even.
If the graph is symmetric about the origin, the function is odd.

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