Final answer:
The exact value of sec(3π/2) is undefined.
Step-by-step explanation:
The trigonometric function secant (sec) is the reciprocal of the cosine function. In this case, we are asked to find the exact value of sec(3π/2). To do this, we need to determine the cosine of 3π/2 and then find the reciprocal of that value.
Using the unit circle, we can see that at 3π/2, the cosine function is equal to 0. Since the reciprocal of 0 is undefined, the exact value of sec(3π/2) is undefined.