Calculus Examples

$\tan (\frac{π}{6}) \sec (\frac{π}{6})$

Step 1

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

$\frac{\sqrt{3}}{3} \sec (\frac{π}{6})$

Step 2

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

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

Step 3

Cancel the common factor of $\sqrt{3}$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

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

Step 4

Combine $\frac{1}{3}$ and $2$ .

$\frac{2}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$