Definition of a Matrix

Q. Let $\theta =\frac{\pi }{5}$ and $A=\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta \end{array}\right]$.If $B=A+A^4$, then det $\left(B\right)$:

1. lies in $(2,3)$
2. is one
3. is zero
4. lies in $(1,2)$