Find the Exact Value sin(((2pi)/3)/2)

$\sin (\frac{\frac{2 π}{3}}{2})$

Multiply the numerator by the reciprocal of the denominator.

$\sin (\frac{2 π}{3} \cdot \frac{1}{2})$

Cancel the common factor of $2$ .

Factor $2$ out of $2 π$ .

$\sin (\frac{2 (π)}{3} \cdot \frac{1}{2})$

Cancel the common factor.

$\sin (\frac{2 π}{3} \cdot \frac{1}{2})$

Rewrite the expression.

$\sin (\frac{π}{3})$

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

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.86602540 \dots$