Makalah Trigonometri Klmpok 2
July 29, 2022 | Author: Anonymous | Category: N/A
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KFOFHFD @MEL]@]FY ]R@ANLNKE]R@
Mnsel Welafkpu : M`fd Mw` Yfltr`, K.Wm M`susul Nhed Oehnkpno @@ : 6. Wutr` Fyu Flaarf`l` 2. Qeh`f Yeclfsfr`
(274607760) (274607736)
WRNM@ ]FMR@Y KF]EKF]@OF CFOUH]FY ]FRB@PFD MFL OEAURUFL UL@SERY@]FY @YHFK LEAER@ YUH]DFL ]DFDF YF@CUMM@L JFKB@ ]FDUL FJFRFL 2727/2726
`
OF]F WELAFL]FR
Yyuour fhdfkmuh`hhfd selflt`fsf ofk` pfljftofl oedfm`rft Fhhfd YQ] yfla tehfd keh`kpfdofl rfdkft mfl ofrul`f-Lyf, sed`laaf ofk` mfpft kelyehesf`ofl kfofhfd `l` aulf kekelud` tuafs oehnkpno ultuo kftf ouh`fd ]r`anlnketr`, melafl jumuh
: ‘@melt`tfs
]r`anlnketr` ‛.
Ofk` kelyfmfr` bfdwf mfhfk peluh`sfl kfofhfd `l` t`mfo terhepfs mfr` bfltufl bflyfo p`dfo yfla melafl tuhus kekber`ofl mnf, sfrfl mfl or`t`o sed`laaf kfofhfd `l` mfpft tersehesf`ofl. Ofk` kelyfmfr` sepeludlyf bfdwf kfofhfd `l` kfs`d jfud mfr` sekpurlf m`ofrelfofl terbftfslyf pelafhfkfl mfl pelaetfdufl yfla ofk` k`h`o`. Nhed ofrelf `tu, ofk` keladfrfpofl seafhf beltuo sfrfl sertf kfsuofl bfdofl or`t`o yfla kekbflaul mfr` berbfaf` p`dfo. Fod`rlyf ofk` berdfrfp seknaf kfofhfd `l` mfpft kekber`ofl kflcfft bfa` peroekbflafl mul`f pelm`m`ofl. pelm`m`ofl.
Jfkb`, 20 Cebrufr` 2727
]`k Weluh`s
``
MFC]FR @Y@
DFHFKFL JUMUH ............................................. ................................................................... ............................................ ...................................... ................ ` OF]F WELAFL]FR ........................................... ................................................................. ............................................ ...................................... ................ `` MFC]FR @Y@ ............................................ .................................................................. ............................................ ............................................ ............................... ......... ``` BFB @ WELMFDUHUFL.......................................... ................................................................. ............................................. .................................. ............ 6 F. Hftfr Behfofla ................................. ....................................................... ............................................ ............................................. ........................... .... 6 B. Rukusfl Kfsfhfd ............................... ..................................................... ............................................. .............................................. ....................... 6 I. ]ujufl Weluh`sfl ............................................ ................................................................... ............................................. .................................. ............ 2 BFB @@ WEKBFDFYFL ........................................... .................................................................. ............................................. .................................. ............ 9 F. Welaert`fl @melt`tfs ]r`anlnketr` ...................................................... .......................................................................... .................... 9 B. Kekbuot`ofl Oebelfrfl @melt`tfs ]r`anlnketr` .......................................... .................................................. ........ 9 I. Kfifk-kfifk @melt`tfs ]r`anlnketr` Mfsfr mfl Rukus @melt`tfs ]r`anlnketr`. = BFB @@@ WELU]UW ........................................ .............................................................. ............................................. .............................................. ....................... 66 F. Oes`kpuhfl ............................................................ .................................................................................. ............................................. ........................... .... 66 B. Yfrfl...................... Yfrfl............................................. ............................................. ............................................ ............................................ ............................... ......... 66 MFC]FR WUY]FOF .................................. ........................................................ ............................................ ............................................. ........................... .... 62 Ynfh Wretest mfl Ynfh Wnstest ............................................ .................................................................. ............................................ ........................... ..... 69
```
BFB @ WELMFDUHUFL
F. Hftfr Behfofla
Heb`d mfr` 9777 tfdul yfla hfhu pfmf zfkfl Kes`r ouln mfl Bfb`hnl`f sertf perfmfbfl hekbfd `lmus fmfhfd fwfh tr`anlnketr` mfpft m`hfifo.6 Kftekft`ofwfl @lm`f fmfhfd per`lt`s pelad`tulafl vfr`fbeh fhjfbfr yfla m`aulfofl ultuo kelad`tula fstrnlnk` mfl juaf tr`anlnketr`. Yeo`tfr 657 YK kftekft`ofwfl Pulfl` D`ppfridus kelyusul tfbeh tr`anlnketr` ultuo kelyehesf`ofl sea`t`af, mfl m`hfljutofl nhed Wtnheky yfla juaf kerupfofl kftekft`ofwfl Pulfl` seo`tfr tfdul 677 yfla kelaekbflaofl pelad`tulafl tr`anlnketr` heb`d hfljut. Oekum`fl pfmf tfdul 6505 kftekft`ofwfl Y`hes`f Bfrtdnhekfeus W`t`sous kelerb`tofl sebufd ofryf yfla berpelafrud teltfla tr`anlnketr`. ]r`anlnketr` mfr` bfdfsf yulfl` yf`tu ]r`anlnk yfla frt`lyf t`af sumut, mfl ketrnl frt`lyf kelauour. ]r`anlnketr` fmfhfd ifbfla kftekft`of yfla berdfmfpfl melafl sumut sea`t`af mfl culas` tr`anlnketr`o sepert` s`lus, ins`lus, mfl tflael. ]r`anlnketr` mfsfr mfl pekbehfjfrfllyf yfla kelifoup pelaert`fl sumut,uourfl sumut , kelmec`l`s`ofl s`lus,ins`lus, mfl tflael, pelaufsffl oeterfkp`hfl mfsfr perbflm`lafl tr`anlnketr`, mfl pehufs pehufsfl fl l`hf` l`h f` perbflm`lafl tr`anlnketr` tr` anlnketr` m`hfljutofl melafl pekbehfjfrfl perbflm`lafl tr`anlnketr` ultuo sumut-sumut `st`kewf mfl rukus perbflm`lafl tr`anlnketr` sumut berehfs`, sertf dubulafl perbflm`lafl tr`anlnketr` suftu sumut yf`tu tr`anlnketr` mfsfr, `melt`tfs tr`anlnketr` sertf rukus rukus mfhfk tr`anlnketr` yfla tehfd m`pehfjfr` sebehuklyf. Wekbehfjfrfl `melt`tfs yfla kekuft pelaert`fl, hflmfsfl mfsfr mfhfk kekbuot`ofl oebelfrfl `melt`tfs.
B. Rukusfl Kfsfhfd
6. Fpf yfla m`kfosum melafl `melt`tfs tr`anlnketr` > 2. Fmf berfpf kfifk `melt`tfs tr`anlnketr` > 9. Bfaf`kflf kekbuot`ofl `melt`tfs tr`anlnketr` >
6
Cftdur`l Zel. Culas` ]r`anlnketr`.
6
I. ]ujufl Weluh`sfl
6. Ultuo mfpft kelaetfdu` fpf `tu `melt`tfs tr`anlnketr`. 2. Kekfdfk` beltuo-beltuo `melt`tfs tr`anlnketr`. 9. Kelaetfdu` ifrf kekbuot`ofl `melt`tfs tr`anlnketr`.2
2
Cftdur`l Zel. Culas` ]r`anlnketr`.
2
BFB @@ WEKBFDFYFL
F. Welaert`fl @melt`tfs ]r`anlnketr`
@melt`tfs tr`anlnketr` fmfhfd suftu rehfs` ftfu ofh`kft terbuof yfla kekuft culas`-culas` tr`anlnketr`. M`kflf berl`hf` belfr ultuo set`fp pelaaflt`fl vfr`fbeh melafl culas` flaantf onlstfl mnkf`l. Oebelfrfl fofl keljfm` suftu rehfs` ftfu ofh`kft terbuof `tu selm`r` fmfhfd `melt`tfs yfla dfrus m`buot`ofl oebelfrfllyf. Fmf beberfpf p`h`dfl yfla mfpft m`aulfofl sebfaf` pekbuot`fl `melt`tfs m`fltfrflyf : kelaaulfofl rukus `melt`tfs ftfu `melt`tfs-`melt`tfs yfla sumfd m`buot`ofl oebelfrfllyf.9 Culas` tr`anlnketr` `tu selm`r` term`r` ftfs s`l, ins, tfl, insei, sei, mfl intflael. Culas` tr`anlnketr` `l` mfpft m`aulfofl ultuo keleltuofl s`s` sea`t`af se a`t`af ftfu sumut yfla kekbeltuo muf s`s` yfla fmf m`mfhfk sea`t`af. Fph`ofs` `hku tr`anlnketr` m`terfpofl mfhfk b`mfla fstrnlnk`,eonlnk`,kem`s,teol`o,aenarfc`,mfl eheotrnl`o. B. Kekbuot`ofl Oebelfrfl @melt`tfs ]r`anlnketr` ]r`anlnketr`
Oebelfrfl suftu rehfs` ftfu ofh`kft terbuof kerupfofl `melt`tfs yfla perhu m`buot`ofl oebelfrflyf. Fmf t`af p`h`dfl pekbuot`fl `melt`tfs, yf`tu kelaaulfofl rukus-rukus ftfu `melt`tfs-`melt`tfs yfla tehfd m`buot`ofl oebelfrfllyf melafl ifrf subs`tus` tr`anlnketr` mfl kfl`puhfs` fhjfbfr melafl tujufl : 6. Kelaubfd beltuo pfmf rufs o`r` `melt`tfs keljfm` beltuo sepert` pfmf rufs oflfl ftfu, 2. Kelaubfd beltuo pfmf rufs oflfl `melt`tfs keljfm` beltuo sepert` rufs o`r`. Yftu dfh yfla dfrus m`buot`ofl mfhfk kekbuot`ofl `melt`tfs tr`anlnketr` fmfhfd o`tf dfrus beoerjf pfmf kfs`la-kfs`la rufs seifrf terp`sfd. Wekbuot`fl `melt`tfs tr`anlnketr` m`hfouofl melafl ifrf kelaubfd beltuo persfkffl pfmf rufs o`r` tflpf tflpf kelaubfd kelaubfd l`hf`lyf, sed`laaf m`pernhed beltuo yfla pers`s sfkf melafl pfmf rufs oflfl ftfu berhfou juaf sebfh`olyf. Kelaubfd beltuo suftu rufs mfpft m`hfouofl melafl ifrf :
9 Ofr`fm`lftf,
Rfdfyu. 2769. ]r`anlnketr` Mfsfr Bflmula : Bflmula : Wustfof Yet`f .
9
f. Yubst`tus` `melt`tfs tr`anlnketr` yf`tu `melt`tfs oebfh`ofl, rfs`n, mfl pdytfanrfs. b. Kfl`puhfs` fhjfbfr yf`tu kelyemerdflfofl beltuo peifdfl, kelafh`ofl melafl beltuo seofwfl, mfl pekcfotnrfl. pekcfotnrfl. Ber`out beberfpf beltuo pekcfotnrfl yfla ser`la m`aulfofl m`fltfrflyf : 2
2
6. f ’ ’ b b ; ( f + b) ( f ’ b b ) = = 2 2 2 2. f ’ ’ b b ; ( f + b ) (f ’ ’ b b2 ) 9. f9 ’ ’ b b9 ; (f ’ (f ’ b b ) (f2 + b2 + fb ) =. f9 + b9 ; ( f + b ) ( f 2 + b2 ’ fb fb ) I. Kfifk-kfifk @melt`tfs ]r`anlnketr` mfl Rukus @melt`tfs ]r`anlnketr` 6. @melt`tfs tr`anlnketr` mfsfr
@melt`tfs tr`anlnketr` fmfhfd suftu persfkffl culas` tr`anlnketr` yfla berl`hf` belfr ultuo set`fp set `fp sumutlyf melafl oemuf s`s` rufslyf termec`l`s`. = @melt`tfs tr`anlnketr` terbfa` keljfm` 9 yf`tu : f. @melt`tfs Oebfh`ofl @melt`tfs oebfh`ofl kerupfofl culas` tr`anlnketr` yfla kelyftfofl dubulafl suftu culas` melafl culas` tr`anlnketr` hf`llyf. K`sfhofl culas` seifl fmfhfd oebfh`ofl mfr` culas` ins`lus. Fmfpul rukus `melt`tfs oebfh`ofl tr`anlnketr` fltfrf hf`l :
; ; ftfu ins ; 2. Yei ;
6.
Int ; tf ftfu tfl ; t
9. b. @melt`tfs Werbflm`lafl
Fmfhfd `melt`tfs tr`anlnketr` mfsfr yfla kerupfofl dubulafl perbflm`lafl. Fmfpul rukus `melt`tfs tr`anlnketr` perbflm`lafl fmfhfd :
; 2. Int ;
6. ]fl
i. @melt`tfs Wytdfanrfs
=
Ofr`fm`lftf, Rfdfyu. 2769. ]r`anlnketr` Mfsfr Bflmula : Bflmula : Wustfof Yet`f .
=
Fmfhfd `melt`tfs tr`anlnketr` mfsfr yfla m`pernhed mfr` dubulafl pytdfanrfs. @melt`tfs-`melt`tfs tr`anlnketr` `l` mfpft m`pernhed kehfhu` t`ljfufl aenketr`s flfh`s`s 5sebfaf` ber`out : Wfmf afkbfr m` bfwfd `l`, t`t`o p ( x,y) terhetfo pfmf h`laofrfl sftufl melafl
∧;·. Yea`t`af NWW‐ kerupfofl sea`t`af s`ous`ou-s`ou m` W‐ sed`laaf : : P
p(x,y)
r
x
N x p‐
·; ′ ; ; ; ftfu y ; s`l · ins ·; ′ ; ; ; ftfu x ; ins · ,ssei· , , · ; . tfl ·; , int ·; , i · ; s`l
Yesuf` melafl of`mfd dubulafl pytdfanrfs kfof : ( NW‐)2 + ( WW‐)2 ; ( NW)2 (x)2 + (y)2 ; (r)2 (x)2 + (y)2 ; (6)
·
· m`subt`tus`ofl oe persfkffl (x) + (y) ; 6 m`pernhed : ( ins · + ( s`l ·) ; (6) Ins + s`l ; 6 ftfu · · .......................................................... Y`l · + ins · ; 6 ........................................... ............... pers (6) 2
J`of x ; ins mfl y ; s`l 2
2
2
2
2
2
2
2
J`of oemuf rufs mfr` persfkffl x 2 + y2 ; 6 m`bfa` melafl x2 kfof m`pernhed :
+ ; 6+ ;
5 Ourl`fl`las`d,
moo. 277=. Kftekft`of YKF ultuo T , Jfofrtf : Erhflaaf.
5
O`tf subst`tus`ofl
; tfl · mfl ; sei · oe pers : 6 + ; kfof m`pernhed
:
· ; sei · ............................................................ pers (2)
6 + tfl2
J`of oemuf rufs mfr` persfkffl x 2 + y2 ; 6 m`bfa` melafl y2, kfof m`pernhed :
+ ; + 6 ; Yubst`tus`ofl ; int · mfl ; insei · oe pers: + 6 ; kfof m`pernhed:
· + 6 ; insei · ................................. ....................................................... ........................ pers (9)
Int2
Jfm` `melt`tfs tr`anlnketr` pytdfanrfs mfsfr 3 fmfhfd:
2
2
f. Y`l + ins ; 6 b. 6 + tfl2 ; sei
· · · · i. Int · + 6 ; insei · 2
Yftu oeaulffl mfr` `melt`tfs-`melt`tfs tr`anlnketr` mfsfr yfla tehfd m`pernhed m`ftfs fmfhfd ultuo keleltuofl l`hf` suftu perbflm`lafl tr`anlnketr` fpfb`hf l`hf` perbflm`lafl tr`anlnketr` yfla hf`l tehfd m`oetfdu`. Inltnd : Buot`ofl `melt`tfs ber`out `l` : 6. ]fl x + int x ; sei x . isi x 2. (6-ins b ) (isi b + int b ) ; s`l b Jfwfb: 6. ]fl x + int x ; sei x . isi x
Fhfsfl
+ + . .
3 Ourl`fl`las`d,
Mec`l`s` tfl x mfl int x Y`cft peljukhfdfl peifdfl Rukus s`l2 x + ins2 x ; 6
moo. 277=. Kftekft`of YKF ultuo T , Jfofrtf : Erhflaaf.
3
Yei x . isi x
Mec`l`s` sei x mfl isi x
Jfm`1 terbuot` bfdwf tfl x + int x ; sei x . isi x 2. (6-ins b ) (isi b + int b ) ; s`l b Isi b + int b ’ b ’ ins b . isi b
s`cft perofh`fl
ins . ins . +−− . − .
s`cft peljukhfdfl pei
.
rukus s`l2 x+ ins2 x; 6
.
Mec isi b mfl int b
s`cft peljukhfdfl
Y`l b Jfm` terbuot` bfdwf (6-ins b ) (isi b + int b ) ; s`l b. 2. Kfifk-kfi Kfifk-kfifk fk Rukus @melt`tfs ]r`anlnketr`
f. Rukus jukhfd mfl seh`s`d muf sumut 6. Rukus Rukus pfmf ins`lus jukhfd mfl seh`se`d muf sumut yf`tu : f. Ins ( F + B) ; ins F . ins B ’ B ’ s`l s`l F . s`l B b. Ins ( F ’ F ’ B B ) ; ins F . ins B + s`l F . s`l B 2. Rukus Rukus pfmf s`lus jukhfd mfl seh`s`d muf sumut yf`tu : f. Y`l ( F+B ) ; s`l F . ins B + ins F . s`l B b. Y`l ( F ’ F ’ B) B) ; s`l F . ins B ’ B ’ ins ins F . s`l B 9. Rukus Rukus pfmf tflael jukhfd mfl seh`s`d muf sumut yf`tu :
+ − . F ’ B) B) ; ’ b. ]fl ( F ’ + . f. ]fl ( F + B) ;
Inltnd : 6. Melafl kelaaulfofl rukus tr`anlnketr` jukhfd mfl seh`s`d muf sumut teltuofl l`hf` ber`out :
· ·
f. Y`l ( =5 - 97 ) Jfwfb :
· ·
·
·
·
·
Y`l ( =5 - 97 ); s`l =5 . ins 97 - ins =5 . s`l 97
1 Ourl`fl`las`d,
moo. 277=. Kftekft`of YKF ultuo T , Jfofrtf : Erhflaaf.
1
√ 2 . √ 9 - √ 2 . √ 3 - √ 2 = = (√ 3 √ 22)) = b. Rukus ultuo sumut rflaofp 4
6. Rukus s`lus ultuo sumut rflaofp yf`tu : Melafl kelaaulfofl rukus s`l (F + B) ultuo F;B yf`tu : Y`l 2F ; s`l ( F+B) ; s`l F . ins F + ins F . s`l F ; 2 s`l F ins F Jfm`, s`l 2F ; 2 s`l F . ins F 2. Rukus ins`lus ultuo sumut rflaofp yf`tu : Melafl kelaaulfofl rukus ins (F+B) ultuo F ; B yf`tu: Ins 2F ; ins (F+F) ; ins F . ins F ’ F ’ s`l s`l F . s`l F 2 2 ; ins F F ’ ’ s`l s`l F Jfm`, ins 2F ; ins 2 F . s`l2 F Ftfu Ins 2F ; ins2 F - s`l2 F ; ins2 F F ’ ’ ( ( 6- ins2 F) ; ins2 F F ’ ’ ( ( 6+ ins2 F) ; 2 ins2 F F ’ ’ 6 6 Ins 2F ; ins2 F - s`l2 F 2
; 2 ins F F ’ ’ 6 6 2 ; 6- 2 s`l F 9. Rukus tflael ultuo sumut rflaofp yf`tu : Melafl kelaaulfofl rukus tfl ( F+B) ultuo F;B yf`tu : ]fl 2F ; tfl ( F+F)
tf+ − . tf ; − ;
Inltnd :
4
Ourl`fl`las`d, moo. 277=. Kftekft`of YKF ultuo T , Jfofrtf : Erhflaaf.
4
=
6. M`oetfdu` s`l F ; mfl ins F ; . Kfof d`tulahfd ins 2F ! Jfwfb : ins 2F ; ins2 F F ’ ’ s`l s`l2 F
= ; ; ;
i. Rukus sumut ]r`anlnketr`0
¶ − + 2. Ins F ; ¶
6. Y`l F ;
− ¶ + ]fl F ; + − ]fl F ;
9. ]fl F ;
Inltnd : 6. ]flpf kelaaulfofl tfbeh ftfu ofhouhftnr, d`tulahfd l`hf` mfr` s`l
·
662,5 ! Jfwfb :
·
Y`l 662,5 ; s`l
(225)·
+ · + √√ − − ; √√ + ; ; √ 2 = ; 2 √ 2 ;
m. Rukus ]r`anlnketr` mfhfk peljukhfdfl mfl pelaurflafl 0
Ourl`fl`las`d, moo. 277=. Kftekft`of YKF ultuo T , Jfofrtf : Erhflaaf.
0
6. Y`l F + Y`l B 2. Y`l F ’ F ’ Y`l B 9. Ins F + Ins B =. Ins F ’ F ’ Ins B
( F+B) ins ( F-B) ; 2 ins ( F+B) s`l ( F-B) ; 2 ins ( F+B) ins ( F-B) ; -2 s`l ( F+B) s`l ( F-B)
; 2 s`l
Inltnd : 6. ]flpf kelaaulfofl tfbeh ftfu ofhouhftnr, d`tulahfd l`hf` mfr` ! s`l 15
· s`l 65·
jfwfb : s`l 15
· s`l 65· ; 2 s`l 15·65· 15·65·. Ins 1565 1565 ins 37· ; 2 s`l 07· . ins ; 2 s`l =5· . ins 97· 2 . √ 99 ; 2 √ 2 ; 2 √ 3 = 3 ; √ 3
e. Rukus ]r`anlnketr` mfhfk Werofh`fl
s`l s`l s`l s`l 2. Ins F . Y`l B ; s`l s`l ins - ins 9. Y`l F . Y`l B ; - ins ins =. Ins F . InsB; ins + ins
6. Y`l F . Ins B ;
Inltnd :
·
·
6. D`tulahfd l`hf` mfr` ins 675 . ins 65 Jfwfb :
·
· ins675·65· + ins675·65· ins627·07· ; ins627·07· ; 7
ins 675 . ins 65 ;
=
;-
67
BFB @@@ WELU]UW
F. Oes`kpuhfl @melt`tfs tr`anlnketr` fmfhfd suftu rehfs` ftfu ofh`kft terbuof te rbuof yfla kekuft culas`culas` tr`anlnketr`. M`kflf berl`hf` belfr ultuo set`fp pelaaflt`fl vfr`fbeh melafl culas` flaantf onlstfl mnkf`l. Oebelfrfl fofl keljfm` suftu rehfs` ftfu ofh`kft terbuof `tu selm`r` fmfhfd `melt`tfs yfla dfrus m`buot`ofl oebelfrfllyf. Wersfkffl `melt`tfs tr`anlnketr` yfla ser`la m`aulfofl sebfaf` ber`out :
· + ins · ; 6 b. 6 + tfl · ; sei · i. Int · + 6 ; insei · f. Y`l2
2
2
2
B. Yfrfl Melafl fmflyf kfofhfd tr`anlnketr` `l` ofk` berdfrfp mfr` sea` `s` kfter` mfpft m`perhufs hfa` melafl kekperbflyfo sukber behfjfr ultuo m`jfm`ofl recels` fafr heb`d helaofp mfl kelfkbfd pelaetfdufl bfru. Dfh yfla perhu m`perdft`ofl mfhfk kelerfpofl culas` mfr` tr`anlnketr` besfr sumut mfl l`hf`lyf mfhfk berbfaf` oufmrft, sertf ultuo kelaetfdu` pfljfla s`s`lyf mfpft m`ifr` melafl tenrekf pytdfanrfs.
66
MFC]FR WUY]FOF
Cftdur`l Zel. Culas` Zel. Culas` ]r`anlnketr`. Ofr`fm`lftf, Rfdfyu. 2769. ]r`anlnketr` Mfsfr Bflmula : : Wustfof Yet`f . Ourl`fl`las`d, moo. 277=. Kftekft`of 277=. Kftekft`of YKF ultuo T , Jfofrtf : Erhflaaf.
62
Ynfh Wretest mfl snfh Wnstest
6. Buot`ofl `melt`tfs tr`anlnketr` ber`out : f. Y`l= ’ ’ ins ins= ; 6 ’ 6 ’ 2 2 Ins2 x b. ]fl x + int x ; sei x . isi x 2. D`tulahfd l`hf` mfr` :
· · b. Ins 15· . Ins 65· ; f. Y`l 07 + s`l 97 ;
9. M`oetfdu` tfl x . s`l x + ins 2 x ; sei x. Kfof buot`oflhfd `melt`tfs tr`anlnketr` tersebut !
69
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