lean_workbook_plus_22682

import Mathlib.Analysis.Complex.Basic

theorem lean_workbook_plus_22682 : ∀ x : ℝ, Real.cos (8 * x) = 1 - 32 * (Real.sin x)^2 + 160 * (Real.sin x)^4 - 256 * (Real.sin x)^6 + 128 * (Real.sin x)^8   :=  by sorry