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Next: 4 $B0lJ}$+$iB>J}$rF3$/J}K!(B Up: 3 $BJL$K2CK!DjM}$rF3$/J}K!(B Previous: 3.1 $B$*$*$^$+$J<0$+$i:n$kJ}K!(B (PDF ¥Õ¥¡¥¤¥ë: sinadd.pdf)

3.2 $BJ#AG?t$rMxMQ$9$kJ}K!(B

$B8=:_9b9;$N?t3X(B B $B$GMz=$$9$kJ#AG?t$G$O!"J#AGJ?LL$d6K7A<0!"(B $B%I(B$\cdot$$B%b%"%V%k$N8x<0$J$I$b$d$k$h$&$J$N$G!"(B

\begin{displaymath}
\cos\theta + i\sin\theta
\end{displaymath}

$B$H$$$&7A$N<0$OB?J,Fk@w$_$,?<$$$H;W$o$l$k!#(B $B$3$N7A$N<0$O!"%I(B$\cdot$$B%b%"%V%k$N8x<0$+$i$b8+$i$l$k$h$&$K!"(B $B@Q$,3Q$NOB$KJQ$o$k!"$H$$$&@-
\begin{displaymath}
(\cos x+i\sin x)(\cos y+i\sin y)=\cos(x+y)+i\sin(x+y)
\end{displaymath} (6)

$B$h$C$F$3$N<0$r3P$($F$*$1$P!"$3$N<0$rE83+$7$F(B $i^2=-1$ $B$r;H$&$H(B

\begin{displaymath}
\mbox{$B:8JU(B} = \cos x\cos y-\sin x\sin y + i(\cos x\sin y + \sin x\cos y)
\end{displaymath}

$B$H$J$k$N$G!"N>JU$N $B$J$*!"$3$N<0(B (6) $B$O!"Bg3X(B ($B$NM}7O$N3XIt$N(B 1,2 $BG/@8(B) $B$G%*%$%i!<$N8x<0(B

\begin{displaymath}
e^{ix}=\cos x+i\sin x
\end{displaymath}

$B$H$7$F3X$V$b$N$G!"CM$N@Q$,JQ?t$NOB$K$J$k$3$H$O;X?tK!B'$H$7$F8+$k$3$H$,$G$-$k!#(B

$B$3$N8x<0$K$OB>$K$bB?$/$N1~MQ$,$"$j!"Nc$($P;03Q4X?t$NHyJ,$N8x<0(B $(\sin x)'=\cos x$, $(\cos x)'=-\sin x$ $B$r3P$($k$N$K(B

\begin{displaymath}
(\cos x+i\sin x)'=i(\cos x+i\sin x) \hspace{1zw}(=-\sin x+i\cos x)
\end{displaymath}

$B$D$^$j!"HyJ,$,(B $i$ $BG\$K$J$k(B ( $(e^{ix})'=ie^{ix}$)$B!"$H$$$&@-
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Next: 4 $B0lJ}$+$iB>J}$rF3$/J}K!(B Up: 3 $BJL$K2CK!DjM}$rF3$/J}K!(B Previous: 3.1 $B$*$*$^$+$J<0$+$i:n$kJ}K!(B
Shigeharu TAKENO
2003$BG/(B 3$B7n(B 4$BF|(B