Find the Exact Value sin(pi/4)-sin(pi/4)

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

Step 1

Simplify each term.

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

$\frac{\sqrt{2}}{2} - \sin (\frac{π}{4})$

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

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

Step 2

Simplify terms.

Combine the numerators over the common denominator.

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

Subtract $\sqrt{2}$ from $\sqrt{2}$ .

$\frac{0}{2}$

Divide $0$ by $2$ .

$0$