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    • 12.1: Trigonometry
      https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_II_(Ellingson)/12%3A_Mathematical_Formulas/12.01%3A_Trigonometry
      \[e ^ { j \theta } = \cos \theta + j \sin \theta \nonumber \] \[\cos \theta = \frac { 1 } { 2 } \left( e ^ { j \theta } + e ^ { - j \theta } \right) \nonumber \] \[\sin \theta = \frac { 1 } { j 2 } \l...\[e ^ { j \theta } = \cos \theta + j \sin \theta \nonumber \] \[\cos \theta = \frac { 1 } { 2 } \left( e ^ { j \theta } + e ^ { - j \theta } \right) \nonumber \] \[\sin \theta = \frac { 1 } { j 2 } \left( e ^ { j \theta } - e ^ { - j \theta } \right) \nonumber \] \[\sin (a \pm b)=\sin a \cos b \pm \cos a \sin b \nonumber \] \[\cos (a \pm b)=\cos a \cos b \mp \sin a \sin b \nonumber \] \[\sinh \theta=\frac{1}{2}\left(e^{+\theta}-e^{-\theta}\right) \nonumber \]

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