Trigonometry Examples

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

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

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

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$1.57313218 \dots$