next up previous
Next: 4.2 $BHyJ,$rMxMQ(B Up: 4 $B0lJ}$+$iB>J}$rF3$/J}K!(B Previous: 4 $B0lJ}$+$iB>J}$rF3$/J}K!(B (PDF ¥Õ¥¡¥¤¥ë: sinadd.pdf)

4.1 $B4pK\@-

$B$3$l$O;03QHf$N4pK\E*$J@-
\begin{displaymath}
\sin (\theta + 90^\circ) = \cos\theta,\hspace{1zw}
\cos (\theta + 90^\circ) = -\sin\theta
\end{displaymath} (7)

$B$rMQ$$$kJ}K!$G$"$k$,!"Nc$($P(B (
1) $B$N(B $x$ $B$NBe$o$j$K(B $x+90^\circ$ $B$rBeF~$9$k$H(B

\begin{eqnarray*}
\mbox{$B:8JU(B} & = & \sin(x+90^\circ+y) = \cos(x+y),\\
\mbox{..
...s y+\cos(x+90^\circ)\sin y\\
& = & \cos x\cos y - \sin x\sin y
\end{eqnarray*}

$B$H$J$j!"(Bcos $B$N2CK!DjM}(B (2) $B$,F@$i$l$k$3$H$K$J$k!#(B $B$?$@$7!"$3$N>l9g$O(B (7) $B$r4V0c$($:$K3P$($F$$$kI,MW$,$"$k$,!"(B $B$3$l$b3d$j$H4V0c$$$,B?$$<0$G$"$k!#(B

$B$3$N(B (7) $B$N3P$(J}$K$b?'!9$"$j!"(B $BNc$($PC10L1_$rMxMQ$9$kJ}K!!"(B $B%0%i%U$rMxMQ$9$kJ}K!!"2CK!DjM}$rMxMQ$9$kJ}K!(B ($B:#$N>l9g$OF2!9=d$j$K$J$C$F$7$^$&$,(B)$B!"$^$?$O(B

\begin{displaymath}
\begin{array}{ll}
\sin (90^\circ - x) = \cos x,&
\cos (90...
...in x,\\
\sin(-x) = -\sin x, & \cos(-x) = \cos x
\end{array}\end{displaymath} (8)

$B$rMxMQ$9$kJ}K!$J$I$,$"$k!#(B (8) $B$rMxMQ$9$kJ}K!$H$O!"(B(8) $B$N(B $B:G=i$N(B 2 $BK\$N<0$N(B $x$ $B$K(B $-\theta$ $B$rBeF~$7$F(B

\begin{displaymath}
\sin (90^\circ+\theta) = \cos(-\theta) = \cos\theta,\hspace{1zw}
\cos (90^\circ+\theta) = \sin(-\theta) = -\sin\theta
\end{displaymath}

$B$N$h$&$KF3$/$d$jJ}$G$"$k!#(B


next up previous
Next: 4.2 $BHyJ,$rMxMQ(B Up: 4 $B0lJ}$+$iB>J}$rF3$/J}K!(B Previous: 4 $B0lJ}$+$iB>J}$rF3$/J}K!(B
Shigeharu TAKENO
2003$BG/(B 3$B7n(B 4$BF|(B