To evaluate this expression, first note that arccos(√3/2) is the angle whose cosine is √3/2. This angle is π/6 radians (or 30 degrees) because the cosine of π/6 is √3/2.
Now, we are trying to find the cosine of 2 times this angle: 2 * π/6 = π/3 radians (or 60 degrees).
To evaluate this expression, first note that arccos(√3/2) is the angle whose cosine is √3/2. This angle is π/6 radians (or 30 degrees) because the cosine of π/6 is √3/2.
Now, we are trying to find the cosine of 2 times this angle: 2 * π/6 = π/3 radians (or 60 degrees).
The cosine of π/3 is 1/2.
Therefore, Cos(2 arccos(√3/2)) = Cos(π/3) = 1/2.