Revision as of 19:09, 16 June 2025 edit Quantling (talk \| contribs) Extended confirmed users, Pending changes reviewers, Rollbackers 6,778 edits →Hyperbolic functions for complex numbers: Include tangent angle-addition formula ← Previous edit		Revision as of 19:13, 16 June 2025 edit undo Quantling (talk \| contribs) Extended confirmed users, Pending changes reviewers, Rollbackers 6,778 edits →Hyperbolic functions for complex numbers: Use parentheses, to mimic the other formulae in this block Next edit →
Line 378: \cosh(x+iy) &= \cosh(x) \cos(y) + i \sinh(x) \sin(y) \\ \sinh(x+iy) &= \sinh(x) \cos(y) + i \cosh(x) \sin(y) \\ \tanh(x+iy) &= \frac{\tanh{(x}) + i \tan{(y})}{1 + i \tanh{(x}) \tan{(y})} \\ \cosh x &= \cos(ix) \\ \sinh x &= - i \sin(ix) \\

Hyperbolic functions: Difference between revisions