Question 77
Find the range of
$$
f(A) = \frac{(\sin A)\left(3 \cos^{2} A + \cos^{4} A + 3 \sin^{2} A + (\sin^{2} A)(\cos^{2} A)\right)}{(\tan A)(\sec A - (\sin A)(\tan A))}
$$
if $A \neq \frac{n \pi}{2}$.
$$
f(A) = \frac{(\sin A)\left(3 \cos^{2} A + \cos^{4} A + 3 \sin^{2} A + (\sin^{2} A)(\cos^{2} A)\right)}{(\tan A)(\sec A - (\sin A)(\tan A))}
$$
if $A \neq \frac{n \pi}{2}$.