Revision as of 13:30, 23 October 2024 edit 14.139.59.137 (talk) →Sums of arguments Tag: Reverted ← Previous edit		Revision as of 13:41, 23 October 2024 edit undo D.Lazard (talk \| contribs) Extended confirmed users 35,609 edits m Reverted 2 edits by 14.139.59.137 (talk) to last revision by DVdm Tags: Twinkle Undo Next edit →
Line 144: ===Sums of arguments=== <math display="block">\begin{align} \~~sin~~sinh(x + y) &= \sinh x \cosh y + \cosh x \sinh y \\ \~~cos~~cosh(x + y) &= \cosh x \cosh y + \sinh x \sinh y \\ \~~tan~~tanh(x + y) &= \frac{\tanh x +\tanh y}{1+ \tanh x \tanh y } \\ \end{align}</math> particularly Line 188: ===Square formulas=== <math display="block">\begin{align} \sinh^2 x &= \tfrac{1}{2}(\cosh 2x +- 1) \\ \cosh^2 x &= \tfrac{1}{2}(\cosh 2x -+ 1) \end{align}</math>

Hyperbolic functions: Difference between revisions