Final answer:
The cotangent of θ when point P is located at (0,5) is 0.
Step-by-step explanation:
To find cot θ when point P is located at (0,5), we first need to determine the values of the adjacent and opposite sides of the triangle.
Since the x-coordinate of point P is 0, the adjacent side is also 0.
The y-coordinate of point P is 5, which means the opposite side is 5.
Therefore, cot θ can be calculated as the ratio of the adjacent side to the opposite side, which in this case is 0/5 = 0.