Evaluate the trigonometric function at the quadrantal angle, or state that the expression is undefined. tan(pi )/(2) Select the correct choice below and, if necessary fill in the answer box to complete your choice. A tan(pi )/(2)=square B. The expression is undefined

To evaluate the trigonometric function $\tan\frac{\pi}{2}$, we need to understand the unit circle and the definition of the tangent function.<br /><br />The unit circle is a circle with a radius of 1, centered at the origin of a coordinate system. The tangent function is defined as the ratio of the y-coordinate to the x-coordinate of a point on the unit circle.<br /><br />Now, let's consider the angle $\frac{\pi}{2}$ radians. This angle corresponds to 90 degrees, which is a quadrantal angle. At this angle, the point on the unit circle is (0, 1).<br /><br />Since the tangent function is defined as the ratio of the y-coordinate to the x-coordinate, and the x-coordinate at $\frac{\pi}{2}$ radians is 0, the expression $\tan\frac{\pi}{2}$ is undefined.<br /><br />Therefore, the correct choice is B. The expression is undefined.