Answer:
When we have a given point (x, y) in rectangular coordinates, the angle between the x-axis and a line that connects the origin with that point is given by:
Tan(θ) = y/x
In this case the point is (-3, 8)
Then we have:
Tan(θ) = -8/3
θ = Atg(-8/3) = -69.4°
Now we just need to input this on:
Sin(-69.4°) = -0.94
Csc(-69.4°) = 1/Sin(-69.4°) = 1/-0.94 = -1.1
Cot(-69.4°) = 1/tan(-69.4°) = -3/8 = -0.38
