# Rotation, rotation, rotation!

**Geometry**Level pending

On a Cartesian plane, point \(P\) \((3, 4)\) is rotated \(60^\circ\) (or \(\frac{\pi}{3}\) radians) counterclockwise about the origin \((0, 0)\). What are the new coordinates of \(P\)?

As an explicit example, if the new coordinates are \((1, 2)\), then one would submit 3.

Express your answer as \(x + y\), rounded to 2 decimal places if necessary.