\begin{flalign}
& e^{j\theta} = \cos\theta +j\sin\theta & \tag{B.1}\end{flalign}
\begin{flalign}
\cos\theta &= \frac{1}{2}\left( e^{j\theta} + e^{-j\theta} \right) & \tag{B.2}\end{flalign}
\begin{flalign}
\sin\theta &= \frac{1}{j2}\left( e^{j\theta} - e^{-j\theta} \right) & \tag{B.3}\end{flalign}
\begin{flalign}
\cos^2\theta &= \frac{1}{2} + \frac{1}{2}\cos 2\theta & \tag{B.4}\end{flalign}
\begin{flalign}
\sin^2\theta &= \frac{1}{2} - \frac{1}{2}\cos 2\theta & \tag{B.5}\end{flalign}
\begin{flalign}
\sin{\left(a\pm b\right)} &= \sin{a}\cos{b} \pm \cos{a}\sin{b} & \tag{B.6}\end{flalign}
\begin{flalign}
\cos{\left(a\pm b\right)} &= \cos{a}\cos{b} \mp \sin{a}\sin{b} & \tag{B.7}\end{flalign}
Hyperbolic trigonometric functions:
\begin{flalign}
\sinh{\theta} &= \frac{1}{2}\left( e^{+\theta} - e^{-\theta} \right) & \tag{B.8}\end{flalign}
\begin{flalign}
\cosh{\theta} &= \frac{1}{2}\left( e^{+\theta} + e^{-\theta} \right) & \tag{B.9}\end{flalign}