bigmatrix.tex

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    \displaystyle \left[\begin{matrix}- \sin^{2}{\left(\alpha \right)} \sin^{2}{\left(\beta \right)} \cos{\left(\theta \right)} + \sin^{2}{\left(\alpha \right)} \sin^{2}{\left(\beta \right)} + \cos{\left(\theta \right)} & \frac{\sin{\left(2 \alpha \right)}}{4} - \frac{\sin{\left(2 \alpha - 2 \beta \right)}}{8} - \frac{\sin{\left(2 \alpha + 2 \beta \right)}}{8} - \frac{\sin{\left(2 \alpha - \theta \right)}}{8} - \frac{\sin{\left(2 \alpha + \theta \right)}}{8} - \frac{\sin{\left(\beta - \theta \right)}}{2} + \frac{\sin{\left(\beta + \theta \right)}}{2} - \frac{\sin{\left(- 2 \alpha + 2 \beta + \theta \right)}}{16} + \frac{\sin{\left(2 \alpha - 2 \beta + \theta \right)}}{16} + \frac{\sin{\left(2 \alpha + 2 \beta - \theta \right)}}{16} + \frac{\sin{\left(2 \alpha + 2 \beta + \theta \right)}}{16} & \left(- \sin{\left(\alpha \right)} \cos{\left(\beta \right)} \cos{\left(\theta \right)} + \sin{\left(\alpha \right)} \cos{\left(\beta \right)} - \sin{\left(\theta \right)} \cos{\left(\alpha \right)}\right) \sin{\left(\beta \right)}\\\frac{\sin{\left(2 \alpha \right)}}{4} - \frac{\sin{\left(2 \alpha - 2 \beta \right)}}{8} - \frac{\sin{\left(2 \alpha + 2 \beta \right)}}{8} - \frac{\sin{\left(2 \alpha - \theta \right)}}{8} - \frac{\sin{\left(2 \alpha + \theta \right)}}{8} + \frac{\sin{\left(\beta - \theta \right)}}{2} - \frac{\sin{\left(\beta + \theta \right)}}{2} - \frac{\sin{\left(- 2 \alpha + 2 \beta + \theta \right)}}{16} + \frac{\sin{\left(2 \alpha - 2 \beta + \theta \right)}}{16} + \frac{\sin{\left(2 \alpha + 2 \beta - \theta \right)}}{16} + \frac{\sin{\left(2 \alpha + 2 \beta + \theta \right)}}{16} & \sin^{2}{\left(\alpha \right)} \sin^{2}{\left(\beta \right)} \cos{\left(\theta \right)} - \sin^{2}{\left(\alpha \right)} \sin^{2}{\left(\beta \right)} - \sin^{2}{\left(\beta \right)} \cos{\left(\theta \right)} + \sin^{2}{\left(\beta \right)} + \cos{\left(\theta \right)} & \left(\sin{\left(\alpha \right)} \sin{\left(\theta \right)} - \cos{\left(\alpha \right)} \cos{\left(\beta \right)} \cos{\left(\theta \right)} + \cos{\left(\alpha \right)} \cos{\left(\beta \right)}\right) \sin{\left(\beta \right)}\\\left(- \sin{\left(\alpha \right)} \cos{\left(\beta \right)} \cos{\left(\theta \right)} + \sin{\left(\alpha \right)} \cos{\left(\beta \right)} + \sin{\left(\theta \right)} \cos{\left(\alpha \right)}\right) \sin{\left(\beta \right)} & \left(- \sin{\left(\alpha \right)} \sin{\left(\theta \right)} - \cos{\left(\alpha \right)} \cos{\left(\beta \right)} \cos{\left(\theta \right)} + \cos{\left(\alpha \right)} \cos{\left(\beta \right)}\right) \sin{\left(\beta \right)} & \sin^{2}{\left(\beta \right)} \cos{\left(\theta \right)} - \sin^{2}{\left(\beta \right)} + 1\end{matrix}\right]
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