Answer:
The correct answer is B. Pi/2.
Explanation:
The period of the tangent function, y = tan(x), is Pi/2. This means that the graph of the tangent function repeats itself every Pi/2 units along the x-axis. In other words, the function's value will be the same at x, x + Pi/2, x + 2Pi/2, and so on.
The period of the tangent function can be derived from the properties of the unit circle and the definition of tangent as the ratio of sine and cosine. In one full revolution around the unit circle (360 degrees or 2Pi radians), the tangent function completes four cycles, which gives a period of Pi/2.