Final answer:
The points of intersection between y = -sin(x) and y = cos(x) at x = (pi)/2 and x = 0 are ((pi)/2, -1) and (0, 0).
Step-by-step explanation:
To find the points of intersection between the two equations, y = -sin(x) and y = cos(x), when x = (pi)/2 and x = 0, we need to determine the values of y for these x-values.
For x = (pi)/2, y = -sin((pi)/2) = -1. So, one point of intersection is (x, y) = ((pi)/2, -1).
For x = 0, y = -sin(0) = 0 and y = cos(0) = 1. So, another point of intersection is (x, y) = (0, 0).