[Choose the one correct answer and explain your reasoning.]
Given \(\theta\) in the range \(0\leq \theta < \pi\), the equation \[x^2+y^2+4x \cos\theta+8y \sin\theta+10=0\] represents a circle for
\(0<\theta<\dfrac{\pi}{3}\);
\(\dfrac{\pi}{4}<\theta<\dfrac{3\pi}{4}\);
\(0<\theta<\dfrac{\pi}{2}\);
all values for \(\theta\).