1.1. Given that $\theta$ is small and measured in radians, use the small angle approximations to find approximate solutions to the equation

$\frac{4{cos}^{2}(4 \theta )-{sin}^{2}(2 \theta )}{{tan}^{2} \theta }=12$

1.2. Determine which out of the solutions in part (a) are more accurate, giving a reason for your answer.