If point P(4, 5) lies on the terminal side of angle C, find the value of tan θ.
Without knowing the exact angle C, we cannot determine the value of tan θ.
However, we can use the coordinates of point P to determine the ratio of the opposite side to the adjacent side (which is equal to the value of tan θ).
Recall that in the coordinate plane, the x-coordinate represents the adjacent side and the y-coordinate represents the opposite side.
Therefore, in this case:
adjacent side = 4
opposite side = 5
tan θ = opposite/adjacent = 5/4
So, tan θ = 1.25.