Trigonometry Examples

$2 \cos (\frac{π}{6}) - \cos (2 \cdot \frac{π}{6})$

Step 1

The exact value of $\cos (\frac{π}{6})$ is $\frac{\sqrt{3}}{2}$ .

$2 \frac{\sqrt{3}}{2} - \cos (2 \cdot \frac{π}{6})$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

$2 \frac{\sqrt{3}}{2} - \cos (2 \cdot \frac{π}{6})$

Step 2.2

Rewrite the expression.

$\sqrt{3} - \cos (2 \cdot \frac{π}{6})$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $6$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$\sqrt{3} - \cos (\frac{π}{3})$

Step 4

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

$\sqrt{3} - \frac{1}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{3} - \frac{1}{2}$

Decimal Form:

$1.23205080 \dots$