We need to find 3 times cosine squared of pi over 2. Let's start by understanding what cosine of pi over 2 means using the unit circle. On the unit circle, pi over 2 radians corresponds to 90 degrees, which takes us to the point (0, 1) at the top of the circle.
Step 1: We need to evaluate cosine of pi over 2. Looking at the unit circle, when the angle is pi over 2, we're at the point (0, 1). The cosine value is the x-coordinate of this point, which is 0. Therefore, cosine of pi over 2 equals 0.
Step 2: Now we need to square the result from step 1. We found that cosine of pi over 2 equals 0. When we square 0, we get 0 squared, which equals 0. Any number multiplied by itself when that number is zero will always give us zero.
Step 3: Finally, we multiply the result by 3. We have 3 times cosine squared of pi over 2, which equals 3 times 0. When we multiply any number by zero, the result is always zero. Therefore, our final answer is 0.
Let's summarize our complete solution. In step 1, we found that cosine of pi over 2 equals 0 using the unit circle. In step 2, we squared this result: 0 squared equals 0. In step 3, we multiplied by 3: 3 times 0 equals 0. Therefore, the final answer to 3 cosine squared of pi over 2 is 0.