Final answer:
To solve the equation cos(4x) = 1 on the interval [0, π/2], the value of x that satisfies the equation is x = 0.
Step-by-step explanation:
To solve the equation cos(4x) = 1 on the interval [0, π/2], we need to find the values of x that satisfy the equation. In this case, cos(4x) = 1 when the angle 4x is equal to 0. Since cos(0) = 1, we have 4x = 0. Solving for x, we get x = 0.