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Next: 3.2 $BJ#AG?t$rMxMQ$9$kJ}K!(B Up: 3 $BJL$K2CK!DjM}$rF3$/J}K!(B Previous: 3 $BJL$K2CK!DjM}$rF3$/J}K!(B (PDF ¥Õ¥¡¥¤¥ë: sinadd.pdf)


3.1 $B$*$*$^$+$J<0$+$i:n$kJ}K!(B

$B$3$l$O!"(B
\begin{displaymath}
\sin (\theta + 90^\circ) = \cos\theta,\hspace{1zw}
\cos (\theta + 90^\circ) = -\sin\theta
\end{displaymath} (3)

$B$H!"(Bsin, cos $B$N(B $0^\circ$, $90^\circ$ $B$G$NCM$rMxMQ$9$kJ}K!$G$"$k!#(B

$B$^$:!"(B$\sin(x+y)$, $\cos(x+y)$ $B$O$$$:$l$b(B

\begin{displaymath}
\mbox{$\sin x$, $\cos x$\ $B$K4X$9$k0l<!<0(B\
($B$b$A$m$s(B $\sin y$, $\cos y$\ $B$K4X$7$F$b(B)}
\end{displaymath} (4)

$B$G$"$k$H$$$&@-
\begin{displaymath}
\sin(x+y) = A\sin x + B\cos x,\hspace{1zw}
\cos(x+y) = C\sin x + D\cos x
\end{displaymath} (5)

$B$N$h$&$KBg$^$+$K=q$/$H!"$3$N(B $A,B,C,D$ $B$O(B $y$ $B$N<0$G$"$j!"$3$l$i$r5a$a$k!#(B $B:#!"(B(5) $B$K(B $x=0^\circ$ $B$rBeF~$9$k$H(B

\begin{displaymath}
\sin y = A\sin 0^\circ + B\cos 0^\circ = B,\hspace{1zw}
\cos y = C\sin 0^\circ + D\cos 0^\circ = D
\end{displaymath}

$B$H$J$k$N$G(B $B=\sin y$, $D=\cos y$ $B$H5a$^$j!"(B (5) $B$K(B $x=90^\circ$ $B$rBeF~$9$k$H(B

\begin{eqnarray*}
\sin (90^\circ + y) &= & \cos y= A\sin 90^\circ + B\cos 90^\c...
...(90^\circ + y) &=& -\sin y = C\sin 90^\circ + D\cos 90^\circ = C
\end{eqnarray*}

$B$H$J$k$N$G(B $A=\cos y$, $C=-\sin y$ $B$H5a$^$k!"$H$$$&J}K!$G$"$k!#(B

$B$J$*;03Q4X?t$NHyJ,$rCN$C$F$$$l$P!"(B$x=90^\circ$ $B$rBeF~$9$kBe$o$j$K!"(B (5) $B$NN>JU$r(B $x$ $B$GHyJ,$7$F$+$i(B $x=0^\circ$ $B$rBeF~$9$k$3$H$G(B $A$, $C$ $B$r5a$a$k!"$H$$$&


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Next: 3.2 $BJ#AG?t$rMxMQ$9$kJ}K!(B Up: 3 $BJL$K2CK!DjM}$rF3$/J}K!(B Previous: 3 $BJL$K2CK!DjM}$rF3$/J}K!(B
Shigeharu TAKENO
2003$BG/(B 3$B7n(B 4$BF|(B