simp_rw [cos, Complex.cos]
E : Type u_1
inst✝¹ : NormedAddCommGroup E
inst✝ : NormedSpace ℝ E
⊢ Function.HasTemperateGrowth fun x => cos x
E : Type u_1
inst✝¹ : NormedAddCommGroup E
inst✝ : NormedSpace ℝ E
⊢ Function.HasTemperateGrowth fun x => ((cexp (↑x * I) + cexp (-↑x * I)) / 2).re