Convert the polar coordinate $\left(6, \frac{\pi}{4}\right)$ to Cartesian coordinates. Enter exact values. \[ x= \] \[ y= \]

Step 1 ：Given the polar coordinate \((6, \frac{\pi}{4})\)

Step 2 ：Convert the polar coordinate to Cartesian coordinates using the formulas \(x = r \cos(\theta)\) and \(y = r \sin(\theta)\)

Step 3 ：Substitute \(r = 6\) and \(\theta = \frac{\pi}{4}\) into the formulas

Step 4 ：Calculate \(x = 6 \cos(\frac{\pi}{4}) = 4.24\) and \(y = 6 \sin(\frac{\pi}{4}) = 4.24\)

Step 5 ：The Cartesian coordinates equivalent to the given polar coordinates are approximately (4.24, 4.24)