10.4: Mathematical Formulas - Trigonometry
- Page ID
- 24319
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\[e ^ { j \theta } = \cos \theta + j \sin \theta \nonumber \]
\[\cos \theta = \frac { 1 } { 2 } \left( e ^ { j \theta } + e ^ { - j \theta } \right) \nonumber \]
\[\sin \theta = \frac { 1 } { j 2 } \left( e ^ { j \theta } - e ^ { - j \theta } \right) \nonumber \]
\[\cos ^ { 2 } \theta = \frac { 1 } { 2 } + \frac { 1 } { 2 } \cos 2 \theta \nonumber \]
\[\sin ^ { 2 } \theta = \frac { 1 } { 2 } - \frac { 1 } { 2 } \cos 2 \theta \nonumber \]