Precalculus Examples

$2 \tan (\frac{π}{3}) + \cos (\frac{π}{4}) \tan (\frac{π}{6})$

Step 1

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

$2 \sqrt{3} + \cos (\frac{π}{4}) \tan (\frac{π}{6})$

Step 2

The exact value of $\cos (\frac{π}{4})$ is $\frac{\sqrt{2}}{2}$ .

$2 \sqrt{3} + \frac{\sqrt{2}}{2} \tan (\frac{π}{6})$

Step 3

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

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

Step 4

Multiply $\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{3}}{3}$ .

Tap for more steps...

Step 4.1

Multiply $\frac{\sqrt{2}}{2}$ by $\frac{\sqrt{3}}{3}$ .

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

Step 4.2

Combine using the product rule for radicals.

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

Step 4.3

Multiply $2$ by $3$ .

$2 \sqrt{3} + \frac{\sqrt{6}}{2 \cdot 3}$

Step 4.4

Multiply $2$ by $3$ .

$2 \sqrt{3} + \frac{\sqrt{6}}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{3} + \frac{\sqrt{6}}{6}$

Decimal Form:

$3.87234990 \dots$