MathDB
2024 Team Problem 8

Source:

April 23, 2024
team

Problem Statement

Compute (1tan10)(1tan20)(1tan30)(1tan40)(1tan5)(1tan15)(1tan25)(1tan35).\frac{(1-\tan10^\circ)(1-\tan 20^\circ)(1-\tan30^\circ)(1-\tan40^\circ)}{(1-\tan5^\circ)(1-\tan 15^\circ)(1-\tan25^\circ)(1-\tan35^\circ)}.
Proposed by Connor Gordon