Trigonometry Examples

$\cos (\frac{π}{2}) \cos (\frac{π}{6}) + \sin (\frac{π}{2}) \sin (\frac{π}{6})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

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

$0 \cos (\frac{π}{6}) + \sin (\frac{π}{2}) \sin (\frac{π}{6})$

Step 1.2

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

$0 \frac{\sqrt{3}}{2} + \sin (\frac{π}{2}) \sin (\frac{π}{6})$

Step 1.3

Multiply $0$ by $\frac{\sqrt{3}}{2}$ .

$0 + \sin (\frac{π}{2}) \sin (\frac{π}{6})$

Step 1.4

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

$0 + 1 \sin (\frac{π}{6})$

Step 1.5

Multiply $\sin (\frac{π}{6})$ by $1$ .

$0 + \sin (\frac{π}{6})$

Step 1.6

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

$0 + \frac{1}{2}$

Step 2

Add $0$ and $\frac{1}{2}$ .

$\frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$