Evaluate -2sin(pi/3)

$- 2 \sin (\frac{π}{3})$

Step 1

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

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

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $- 2$ .

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

Cancel the common factor.

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

Rewrite the expression.

$- 1 \sqrt{3}$

Step 3

Rewrite $- 1 \sqrt{3}$ as $- \sqrt{3}$ .

$- \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \sqrt{3}$

Decimal Form:

$- 1.73205080 \dots$