Question 17
A square $ABCD$ and an equilateral triangle $PQR$ are inscribed in a circle with centre $O$, with $AB\parallel QR$. Sides $PQ$ and $PR$ meet $AB$ at $X$ and $Y$, respectively. Find $\tan\angle XOY$.
The original figure swaps X and Y relative to the textual order of the intersections. Both the original text and figure are retained; use the text to name the points. Exchanging X and Y does not change the undirected angle XOY.
The original figure swaps X and Y relative to the textual order of the intersections. Both the original text and figure are retained; use the text to name the points. Exchanging X and Y does not change the undirected angle XOY.