Question

Пожалуйста, докажите

cos36-cos72=1/2

Answer 1

cos 36° - cos 72° = 1/2

=> cos 36° - (2 cos^2(36°) - 1) = 1/2

=> cos 36° - 2 cos^2(36°) + 1 = 1/2

=> 4 cos^2(36°) - 2 cos 36° - 1 = 0