The axes are rotated through an angle `pi//3` in the anticlockwise direction with respect to `(0,0)`. Find the coordinates of point `(4,2)` (w.r.t. old coordinate system) in the new coordinates system.

Explanation

To find the coordinates of the point (4, 2) after the axes have been rotated through an angle of \( \frac{\pi}{3} \) (or 60 degrees) in the anticlockwise direction, we can use the transformation formulas for rotation.

### Step-by-Step Solution:

1. **Identify the rotation angle**:
The angle of rotation \( \theta \) is given as \( \frac{\pi}{3} \).

2. **Use the rotation transformation formulas**:
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