229
&(:
1.
1cossin
22
xx
;
)(cos)(sin
22
ixix
xxi
22
ch)sh(
1chsh
22
xx
;
1shch
22
xx
.
2.
);cos()sin()cos()sin()sin(
i
i
i
i
i
i
xyiyxiyxi chshchsh)(sh ;
xyyxyx chshchsh)(sh .
@! (
),(sh yx ),(ch yx ),(ch yx
,2sh x
x2ch
.
11.4. &:
1. /! ' ( .
2. ! '! .
3. C9 ( '! shx, chx, thx, cthx.
4. & :
) shx;') chx; ) thx;) cthx.
5. 5)! 9 ,
'( 9 .
) y = sh (x
+ 1) ; ') y = shx + 2 ; ) &=| shx |;
) y = ch (x – 2) ; () y = chx – 2 ; ) y= | chx |–3 ;
<) y = thx + 1 ; ) y = th (x + 2) ; ) y= |1– thx | ;
) y = ch (x – 1) ; ) y = ch x – 2 ; ) y= | chx | ;
6. :
)
x
x
2cth
cth2
sth1
2
;')
2
ch
2
sh2shsh
yxyx
yx
.
)
2
th
ch1
sth x
x
;)
ch
2
h
2
sh
22
.
7. C ( :
)
3
chxy
; ')
)1(sh
2
xy
;)
xy th
;
) xxy thsh2 ;() xxy cth ;)
x
y
ch1
sh
;
11. 5 6&!*/