Precalculus Examples

$\sin (\frac{π}{3}) \sin (\frac{π}{6})$

Step 1

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

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

Step 2

The exact value of $\sin (\frac{π}{6})$ is $\frac{1}{2}$ .

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

Step 3

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

Tap for more steps...

Step 3.1

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

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

Step 3.2

Multiply $2$ by $2$ .

$\frac{\sqrt{3}}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{3}}{4}$

Decimal Form:

$0.43301270 \dots$