Question 4
If the following is true: $$\frac{3+\cot78^\circ\cot18^\circ}{\cot78^\circ+\cot18^\circ}=\frac{\tan n+\sin m}{\cos m},$$ where $n$ and $m$ are in degrees and are acute angles, find the product $mn$.
**Editorial clarification.** Determine whether the data force a unique product. Enter that product if unique; otherwise enter NOT UNIQUE. No unstated relation between the two angles is assumed.
Use the response format specified above.
**Editorial clarification.** Determine whether the data force a unique product. Enter that product if unique; otherwise enter NOT UNIQUE. No unstated relation between the two angles is assumed.
Use the response format specified above.