To find the value of \(\sin\left(\frac{\pi}{3}\right)\), we can use the known sine values for common angles.
We know that: \[ \sin\left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{2} \]
Looking through the given responses:
- \( 1 \)
- \( 0 \)
- \( \frac{3\sqrt{2}}{5} \)
- \( \frac{5}{12} \)
- \( \frac{5\sqrt{3}}{2} - 1 \)
None of these responses match \(\frac{\sqrt{3}}{2}\).
Therefore, based on the values we've examined, the value of \(\sin\left(\frac{\pi}{3}\right)\) is indeed \(\frac{\sqrt{3}}{2}\), but it does not appear to be part of the provided options.