HF RL Explorer

Task 1485

Task 1485: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. A certain point has rectangular coordinates $(10,3)$ and polar coordinates $(r, \theta).$ What are the rectangular coordinates of the point with polar coordinates $(r^2, 2 \theta)$?

The task

A certain point has rectangular coordinates $(10,3)$ and polar coordinates $(r, \theta).$ What are the rectangular coordinates of the point with polar coordinates $(r^2, 2 \theta)$?