Precalculus Examples

$\sin (45) + \cos (30)$

Step 1

The exact value of $\sin (45)$ is $\frac{\sqrt{2}}{2}$ .

$\frac{\sqrt{2}}{2} + \cos (30)$

Step 2

The exact value of $\cos (30)$ is $\frac{\sqrt{3}}{2}$ .

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$1.57313218 \dots$