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| -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. \[ |