$$\tan^{2}A+3\ \tan\ A+2$$
$\frac{\frac{3\sin(2A)}{\left(\cos(A)\right)^{2}}+\frac{2}{\left(\cos(A)\right)^{2}}+2}{2}$
$\frac{2\sin(A)+3\cos(A)}{\left(\cos(A)\right)^{3}}$
