cot θ = -7/24
cos θ = -7/25
csc θ = 25/24
Given that the intersection is at (-7/25, 24/25) that immediately gives you sine and cosine. So by definition:
sin θ = 24/25
cos θ = -7/25
Since the cotangent is cosine over sine (the reciprocal of tangent) we get:
cot θ = (-7/25) / (24/25) = (-7/25) * (25/24) = -7/24
And since cosecant is the reciprocal of sine, we get:
csc θ = 1/(24/25) = 1 * 25/24 = 25/24