Find the Exact Value sin(60 degrees )+cos(30 degrees )

$\sin (60 °) + \cos (30 °)$

Step 1

Simplify each term.

The exact value of $\sin (60 °)$ is $\frac{\sqrt{3}}{2}$ .

$\frac{\sqrt{3}}{2} + \cos (30 °)$

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

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

Step 2

Simplify terms.

Combine the numerators over the common denominator.

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

Add $\sqrt{3}$ and $\sqrt{3}$ .

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

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $\sqrt{3}$ by $1$ .

$\sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{3}$

Decimal Form:

$1.73205080 \dots$