Calculus Examples

$- 2 \sin (\frac{π}{6}) - 4 \cos (\frac{π}{6})$

Step 1

The exact value of $\sin (\frac{π}{6})$ is $\frac{1}{2}$ .

$- 2 (\frac{1}{2}) - 4 \cos (\frac{π}{6})$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{1}{2} - 4 \cos (\frac{π}{6})$

Step 2.2

Cancel the common factor.

$2 \cdot - 1 \frac{1}{2} - 4 \cos (\frac{π}{6})$

Step 2.3

Rewrite the expression.

$- 1 - 4 \cos (\frac{π}{6})$

Step 3

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

$- 1 - 4 \frac{\sqrt{3}}{2}$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $- 4$ .

$- 1 + 2 (- 2) \frac{\sqrt{3}}{2}$

Step 4.2

Cancel the common factor.

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

Step 4.3

Rewrite the expression.

$- 1 - 2 \sqrt{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- 1 - 2 \sqrt{3}$

Decimal Form:

$- 4.46410161 \dots$