# How do you evaluate cos 30?

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Alan P. Share
Jan 10, 2017

$\cos \left({30}^{\circ}\right) = \frac{\sqrt{3}}{2}$

#### Explanation:

Consider an equilateral triangle (with interior angles of ${60}^{\circ}$) and sides of length $2$ which has been bisected as in the image below:

By definition $\cos = \text{adjacent side"/"hypotenuse}$

So in this case
$\textcolor{w h i t e}{\text{XXX}} \cos \left({30}^{\circ}\right) = \frac{\sqrt{3}}{2}$

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