Convert into Cartesian coordinates:
`((sqrt2+1)/sqrt2,pi/4)`

Explanation

To convert the given polar coordinates \(\left(\frac{\sqrt{2}+1}{\sqrt{2}}, \frac{\pi}{4}\right)\) into Cartesian coordinates, we will follow these steps:

### Step 1: Identify the Polar Coordinates
The polar coordinates are given as:
- \( R = \frac{\sqrt{2}+1}{\sqrt{2}} \)
- \( \theta = \frac{\pi}{4} \)

### Step 2: Use the Conversion Formulas
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