492
回編集
差分
編集の要約なし
$$\begin{pmatrix}A_C_{n}&C_{n+1}\\S_{n}&S_{n+1}\end{pmatrix}=\begin{pmatrix}0&-1\\1&2\cos\theta\end{pmatrix}^n\\~または~\begin{pmatrix}S_{n+1}\\A_nS_{n}\end{pmatrix}=\begin{pmatrix}2\cos\theta&-1\\1&0\end{pmatrix}^n\begin{pmatrix}1\\0\end{pmatrix}$$ ~すなわち $$~\begin{cases}A_0S_0=0\\A_1S_1=1\\A_S_{n}=-(S_{n-2\cos\theta})A_+(S_{n-1}-A_{n-)(2}\cos\theta)
\end{cases}$$
:$$\begin{align*}
e^{xz}=&\cos_zx+z\sin_zx\\
=&\left(-\sum_{k=0}^\infty\frac{A_S_{k-1}x^k}{k!}\right)+z\left(\sum_{k=0}^\infty\frac{A_S_{k}x^k}{k!}\right)\\
\end{align*}$$
:$$\begin{align*}
\cos_zx=&-\sum_{k=0}^\infty\frac{A_S_{k-1}x^k}{k!}\\\sin_zx=&+\sum_{k=0}^\infty\frac{A_S_{k}x^k}{k!}\\
\end{align*}
\begin{cases}
\end{cases}
$$