In trigonometry laws, there's a equation to solve this problem : sin (a-b) = sin(a) . cos(b) - sin (b) . cos(a),
so by assuming that a = π, b = θ, so the equation will be like this.. sin (π-θ) = sin(π) . cos(θ) - sin (θ) . cos(π), = 0 . cos(θ) - sin(θ) . (-1) = sin(θ) = 0.57
This question is asking for the end behavior of the graph. In this case, as x increases f(x) also increases; therefore, they both approach positive infinity at the same time. Additionally, the horizontal asymptote of the graph is 3. This means that as x approaches -∞, f(x) will approach the asymptote, 3.