MathCastle
TrigonometrySuperchallengeSum, Difference, and Multiple-Angle Formulas

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

Find the exact value of cos⁡420∘+cos⁡440∘+cos⁡460∘+cos⁡480∘\cos^4 20^\circ + \cos^4 40^\circ + \cos^4 60^\circ + \cos^4 80^\circ.