$ ext{Find the value of } sin(frac{pi}{3}) ext{ using the unit circle.}$

$\text{The angle } \frac{\pi}{3} \text{ is equivalent to } 60^{\circ}.$

$\text{On the unit circle, the coordinates for } 60^{\circ} \text{ are } \left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right).$

$\sin(\frac{\pi}{3}) \text{ is the y-coordinate, which is } \frac{\sqrt{3}}{2}.$

$ ext{First, note that } frac{pi}{3} ext{ radians correspond to } 60^{circ}.$

$ ext{On the unit circle, the coordinates for } 60^{circ} ext{ are } left(frac{1}{2}, frac{sqrt{3}}{2}
ight).$

$sin(60^{circ}) = sin(frac{pi}{3}) = frac{sqrt{3}}{2}.$

$frac{pi}{3} ext{ corresponds to } 60^{circ}. ext{ On the unit circle, the y-coordinate is } frac{sqrt{3}}{2}.$

$sin(frac{pi}{3}) = frac{sqrt{3}}{2}.$

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