Final answer:
The terminal point P(x, y) on the unit circle for T = pi/2 is (0, 1), which represents the point directly above the origin on the unit circle.
Step-by-step explanation:
The correct answer is option P(x, y) = (0, 1). On the unit circle, the terminal point determined by the value of T = π/2 is at the highest point on the circle directly above the origin.
The x-coordinate at this angle is 0 because we are on the y-axis, and the y-coordinate is 1 because this is the radius of the unit circle and the point lies one unit away from the origin along the y-axis. Therefore, the terminal point P(x, y) you are looking for is (0, 1).
Based on the given information, we have three sets of values for x, y, and z. To find the terminal point P(x, y) on the unit circle determined by the given value of T = Pi/2, we need to substitute the value of T into the equations x = cos(T) and y = sin(T).
By substituting T = Pi/2 into the equations, we get x = cos(Pi/2) = 0 and y = sin(Pi/2) = 1.