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author | Nao Pross <np@0hm.ch> | 2022-01-09 19:39:47 +0100 |
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committer | Nao Pross <np@0hm.ch> | 2022-01-09 19:39:47 +0100 |
commit | 7cae64f616d6843cc03e3e9e001bad205cc190ff (patch) | |
tree | 19ccce5a8dc4840b9aec77e3923bb12b90d95624 | |
parent | Update README.md (diff) | |
download | An1E-7cae64f616d6843cc03e3e9e001bad205cc190ff.tar.gz An1E-7cae64f616d6843cc03e3e9e001bad205cc190ff.zip |
Diffstat (limited to '')
-rw-r--r-- | an1e_zf.pdf | bin | 114124 -> 116604 bytes | |||
-rw-r--r-- | an1e_zf.tex | 4 |
2 files changed, 2 insertions, 2 deletions
diff --git a/an1e_zf.pdf b/an1e_zf.pdf Binary files differindex be5a1af..d0b92fa 100644 --- a/an1e_zf.pdf +++ b/an1e_zf.pdf diff --git a/an1e_zf.tex b/an1e_zf.tex index cb0a026..76ff1c3 100644 --- a/an1e_zf.tex +++ b/an1e_zf.tex @@ -287,9 +287,9 @@ R(x) = \frac{P_m(x)}{Q_n(x)} = \frac{p_m x^m + \cdots + p_0}{q_n x^n + \cdots + Definitionen der grunds\"atzlichen Winkelfunktionen. \begin{align*} \sin(x) &= \frac{e^{ix} - e^{-ix}}{2i} = \sum_{n=0}^\infty (-1)^n \frac{x^{(2n+1)}}{(2n+1)!} \\ - \cos(x) &= \frac{e^{ix} + e^{ix}}{2} = \sum_{n=0}^\infty (-1)^n \frac{x^{2n}}{(2n)!}\\ + \cos(x) &= \frac{e^{ix} + e^{-ix}}{2} = \sum_{n=0}^\infty (-1)^n \frac{x^{2n}}{(2n)!}\\ \sinh(x) &= \frac{e^{x} - e^{-x}}{2} = \sum_{n=0}^\infty \frac{x^{(2n+1)}}{(2n+1)!} \\ - \cosh(x) &= \frac{e^{x} + e^{x}}{2} = \sum_{n=0}^\infty \frac{x^{2n}}{(2n)!}\\ + \cosh(x) &= \frac{e^{x} + e^{-x}}{2} = \sum_{n=0}^\infty \frac{x^{2n}}{(2n)!}\\ \end{align*} Beziehungen und Identit\"aten. \[ |