Trigonometry Examples

$\sin (\frac{π}{4}) \cos (\frac{π}{6})$

Step 1

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

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

Step 2

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

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

Step 3

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

Tap for more steps...

Step 3.1

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

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

Step 3.2

Combine using the product rule for radicals.

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

Step 3.3

Multiply $2$ by $3$ .

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

Step 3.4

Multiply $2$ by $2$ .

$\frac{\sqrt{6}}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{6}}{4}$

Decimal Form:

$0.61237243 \dots$