Trigonometry Examples

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

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

The exact value of $\cos (\frac{π}{3})$ is $\frac{1}{2}$ .

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

Step 1.3

Multiply $\frac{\sqrt{3}}{3} \cdot \frac{1}{2}$ .

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Step 1.3.1

Multiply $\frac{\sqrt{3}}{3}$ by $\frac{1}{2}$ .

$\frac{\sqrt{3}}{3 \cdot 2} - \cos (\frac{π}{2})$

Step 1.3.2

Multiply $3$ by $2$ .

$\frac{\sqrt{3}}{6} - \cos (\frac{π}{2})$

Step 1.4

The exact value of $\cos (\frac{π}{2})$ is $0$ .

$\frac{\sqrt{3}}{6} - 0$

Step 1.5

Multiply $- 1$ by $0$ .

$\frac{\sqrt{3}}{6} + 0$

Step 2

Add $\frac{\sqrt{3}}{6}$ and $0$ .

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.28867513 \dots$