cos a = 1/2 for all 0 ≤ α ≤ 2π

Answer 1

This statement is false.

When α = 0 or 2π, cos α = cos 0 = 1, not 1/2.

When α = π, cos α = cos π = -1, not 1/2.

Therefore, there are three values of α where cos α is not equal to 1/2, and the statement is false.