Find the terminal point on the unit circle determined by $\frac{5 \pi}{3}$ radians. Use exact values, not decimal approximations. \[ (x, y)=(\mathbb{1}, \square) \]

Step 1 ：The terminal point on the unit circle is given by the coordinates (cos(theta), sin(theta)). Here, theta is the angle in radians, which is given as \(\frac{5 \pi}{3}\). So, we need to find the cosine and sine of \(\frac{5 \pi}{3}\).

Step 2 ：The cosine of \(\frac{5 \pi}{3}\) is approximately 0.5 and the sine of \(\frac{5 \pi}{3}\) is approximately -0.866. However, we need to provide the exact values.

Step 3 ：The exact value of cos(\(\frac{5 \pi}{3}\)) is \(\frac{1}{2}\) and the exact value of sin(\(\frac{5 \pi}{3}\)) is \(-\frac{\sqrt{3}}{2}\).

Step 4 ：Final Answer: The terminal point on the unit circle determined by \(\frac{5 \pi}{3}\) radians is \(\boxed{(\frac{1}{2}, -\frac{\sqrt{3}}{2})}\)