Precalculus Examples

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

Step 1

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

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

Step 2

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

$\frac{\sqrt{2}}{2} - \frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{2}}{2} - \frac{1}{2}$

Decimal Form:

$0.20710678 \dots$