Find the Exact Value sin(pi/3)-cos(pi/6)

$\sin (\frac{π}{3}) - \cos (\frac{π}{6})$

Step 1

Simplify each term.

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

$\frac{\sqrt{3}}{2} - \cos (\frac{π}{6})$

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

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

Step 2

Simplify terms.

Combine the numerators over the common denominator.

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

Subtract $\sqrt{3}$ from $\sqrt{3}$ .

$\frac{0}{2}$

Divide $0$ by $2$ .

$0$