Final answer:
The position of 5π/2 on the unit circle is in Quadrant I, which is the same position as π/2 since 5π/2 radians represents going a full circle plus an extra π/2 radians. the position of 5π/2 radians on the unit circle is at the same position as π/2 radians, which is in Quadrant I.
Step-by-step explanation:
The question 'Where is 5π/2 on the unit circle?' refers to an angle's position in terms of radians on a unit circle. To find its position, we divide the full circle (2π radians) into four quadrants, each encompassing π/2 radians. Starting from the positive x-axis and moving counter-clockwise (the standard direction for measuring angles in mathematics), every time we reach an increment of π/2 radians, we enter a new quadrant.
Completing a full rotation around the unit circle gets us to 2π radians, which is the same as 4π/2 radians. Now we need to cover an additional π/2 radians to reach 5π/2 radians. This would be π/2 radians into the next rotation, which puts us back at the positive y-axis. Therefore, the position of 5π/2 radians on the unit circle is at the same position as π/2 radians, which is in Quadrant I.