Precalculus Examples

$\arccos (\cos (\frac{2 π}{6}))$

Step 1

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

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Step 1.1

Factor $2$ out of $2 π$ .

$\arccos (\cos (\frac{2 (π)}{6}))$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $6$ .

$\arccos (\cos (\frac{2 π}{2 \cdot 3}))$

Step 1.2.2

Cancel the common factor.

$\arccos (\cos (\frac{2 π}{2 \cdot 3}))$

Step 1.2.3

Rewrite the expression.

$\arccos (\cos (\frac{π}{3}))$

Step 2

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

$\arccos (\frac{1}{2})$

Step 3

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

$\frac{π}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{π}{3}$

Decimal Form:

$1.04719755 \dots$