"cos" 〖"α" ="1" /"2" 〗
for all 0 ≤ α ≤ 2π
1 answer
This statement is true. The cosine of α is equal to 1/2 when α is equal to π/3 or 5π/3. These are the only two values of α between 0 and 2π for which the cosine is equal to 1/2. However, since the cosine function has a period of 2π, it will take on the value of 1/2 at these two points and all points that differ from them by a multiple of 2π. Therefore, cos(α) = 1/2 for all 0 ≤ α ≤ 2π.