Convert the polar coordinate $\left(3, \frac{5 \pi}{3}\right)$ to Cartesian coordinates. Enter exact values. \[ x= \] \[ y= \] Question Help: Worked Example 1 Message instructor Submit Question

Step 1 ：Use the formulas \(x = r \cos(\theta)\) and \(y = r \sin(\theta)\) to convert polar coordinates to Cartesian coordinates

Step 2 ：Given polar coordinate is \((3, \frac{5 \pi}{3})\), where \(r = 3\) and \(\theta = \frac{5 \pi}{3}\)

Step 3 ：Calculate \(x\) using the formula \(x = r \cos(\theta)\): \(x = 3 \cos(\frac{5 \pi}{3})\)

Step 4 ：Calculate \(y\) using the formula \(y = r \sin(\theta)\): \(y = 3 \sin(\frac{5 \pi}{3})\)

Step 5 ：Simplify the values of \(x\) and \(y\)

Step 6 ：Final Answer: \(x= \boxed{\frac{3}{2}}\) and \(y= \boxed{-\frac{3\sqrt{3}}{2}}\)