Trigonometry Examples

$\cos (\frac{2 π}{6})$

Step 1

Cancel the common factor of $2$ and $6$ .

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Step 1.1

Factor $2$ out of $2 π$ .

$\cos (\frac{2 (π)}{6})$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $6$ .

$\cos (\frac{2 π}{2 \cdot 3})$

Step 1.2.2

Cancel the common factor.

$\cos (\frac{2 π}{2 \cdot 3})$

Step 1.2.3

Rewrite the expression.

$\cos (\frac{π}{3})$

Step 2

The exact value of $\cos (\frac{π}{3})$ is $\frac{1}{2}$ .

$\frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$