Question

$$\frac { 4 ( \cos ^ { 4 } A + \sin ^ { 2 } A ) } { \cos ^ { 4 } A - \sin ^ { 4 } A } = ( 3 + \cos 4 A ) \sec 2 A$$

Solve for A

$A=\frac{\pi n_{1}}{2}$
$n_{1}\in \mathrm{Z}$