Answer:
sin(θ) = -0.894
Step-by-step explanation:
If we have a point (x, y), the angle formed between the positive x-axis and the ray that connects the origin with the point is given by:
tan(θ) = y/x
cos(θ) = y/√(x^2 + y^2)
sin(θ) = x/√(x^2 + y^2)
Here we have the point (-4, -2)
so we have:
x = -4
y = -2
Replacing these values in the sine equation, we get:
sin(θ) = -4/√((-4)^2 + (-2)^2)
sin(θ) = -0.894
