Calculus Examples

$\frac{π}{3} - 2 \sin (\frac{π}{3})$

Step 1

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

$\frac{π}{3} - 2 \frac{\sqrt{3}}{2}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $- 2$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$\frac{π}{3} - 1 \sqrt{3}$

Step 3

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

$\frac{π}{3} - \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{π}{3} - \sqrt{3}$

Decimal Form:

$- 0.68485325 \dots$