Skip to main content
\(\require{cancel}\)
Physics LibreTexts

10.4: Mathematical Formulas - Trigonometry

  • Page ID
    24319
  • \[e ^ { j \theta } = \cos \theta + j \sin \theta\]

    \[\cos \theta = \frac { 1 } { 2 } \left( e ^ { j \theta } + e ^ { - j \theta } \right)\]

    \[\sin \theta = \frac { 1 } { j 2 } \left( e ^ { j \theta } - e ^ { - j \theta } \right)\]

    \[\cos ^ { 2 } \theta = \frac { 1 } { 2 } + \frac { 1 } { 2 } \cos 2 \theta\]

    \[\sin ^ { 2 } \theta = \frac { 1 } { 2 } - \frac { 1 } { 2 } \cos 2 \theta\]

    Contributors and Attributions

    • Was this article helpful?