Evaluate the following without a calculator. cos(-(3pi )/(2)) Select the correct choice below and, if necessary fill in the answer box to complete your choice a cos(-(3pi )/(2))=square (Simplify your answer) B. The expression is undefined

To evaluate without a calculator, we can use the unit circle and the properties of the cosine function.The cosine function is an even function, which means that . Therefore, we can rewrite the expression as .Now, let's consider the unit circle. The unit circle is a circle with a radius of 1, centered at the origin of a coordinate system. The cosine of an angle is the x-coordinate of the point where the terminal side of the angle intersects the unit circle.In this case, the angle corresponds to a rotation of or radians counterclockwise from the positive x-axis. The terminal side of this angle intersects the unit circle at the point .Therefore, the cosine of is 0.So, the correct answer is:A.