The period of |cos x| is

• A: π/2
• B: 2π
• C: π
• D: none of these

The period of the function |cos x| can be determined by analyzing its behavior. The cosine function, cos x, has a period of 2π, meaning it repeats every 2π units. However, when we take the absolute value, |cos x|, the negative portions of the cosine wave are reflected above the x-axis. This reflection creates a new pattern that repeats every π units.

Key Points

• The standard period of cos x is 2π.
• Taking the absolute value modifies the function's symmetry.
• |cos x| repeats every π units.

Therefore, the correct answer is C: π.