MathCastle
TrigonometrySuperchallengeSum, Difference, and Multiple-Angle Formulas

Sum, Difference, and Multiple-Angle Formulas · Superchallenge problem

Find the exact value of (2cos⁡40∘−1)(2cos⁡80∘−1)(2cos⁡160∘−1)\left(2\cos 40^\circ - 1\right)\left(2\cos 80^\circ - 1\right)\left(2\cos 160^\circ - 1\right).