# 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.

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