Trigonometric & Hyperbolic Properties

TARGET DECK Mathematics::Trigonometric & Hyperbolic Properties

$\sinh 2x$::$2\sinh x\cosh x$

$\cosh 2x$::${\cosh }^{2}x+{\sinh }^{2}x$

${\cosh }^{2}x$::$\frac{\cosh 2x+1}{2}$

${\sinh }^{2}x$::$\frac{\cosh 2x-1}{2}$

${\tanh }^{2}x$::$1-\sec {\mathrm{h}}^{2}x$

${\coth }^{2}x$::$1+\csc {\mathrm{h}}^{2}x$

$\sinh (x+y)$::$\sinh x\cosh y+\cosh x\sinh y$

$\cosh (x+y)$::$\cosh x\cosh y+\sinh x\sinh y$

${\mathrm{sech}}^{-1}x$::${\cosh }^{-1}\frac{1}{x}$

${\mathrm{csch}}^{-1}x$::${\sinh }^{-1}\frac{1}{x}$

${\cot }^{-1}x$::${\tanh }^{-1}\frac{1}{x}$