Find the range of
\(f(A)=\frac{\sin A(3\cos^{2}A+\cos^{4}A+3\sin^{2}A+\sin^{2}A\cos^{2}A)}{\tan A (\sec A-\sin A\tan A)}\)
if \(A\neq \dfrac{n\pi}{2}\) for any integer n. Express your answer in interval notation.
(3, 4)