Arccosine formulas

\[ \textnormal{arccos}( -x ) = \pi - \textnormal{arccos}( x ) \\~\\ \textnormal{arccos}( x ) = \frac{\pi}{2} - \textnormal{arcsin}( x ) \]

\[ \textnormal{cos}( \textnormal{arccos}(x) ) = x \\~\\ \textnormal{sin}( \textnormal{arccos}(x) ) = \sqrt{ 1 - x^2 } \\~\\ \textnormal{tan}( \textnormal{arccos}(x) ) = \frac{ \sqrt{ 1 - x^2 } }{ x } \]

\[ \textnormal{arccos}\left( \dfrac{1}{x} \right) = \textnormal{arcsec}( x ) \]

\[ \textnormal{arccos}( x ) = \dfrac{1}{2} \ \textnormal{arccos}( 2x^2 - 1 ) \quad (0 \leq x \leq 1) \]

Comments

Powered by Markdown