ii orfrqffi ii - paceinstitute.lk · i ebcs ii ebo oroqo qoesczl ee ... (20' + a) = 2 cos 4oo...

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ALlzotTnots-tt

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C).i1:

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@ooQd:0oo qooo

* o@@ gda: oBcs orocOd oqzoBol oOrJEra oO;

A smo6 (gdar I - l0) cso B €@OGe (gda: ll - l7).-* A eoOo:

600E o grda€go B€,redr oocsrJa:. ouil od gcdroo coqoc 0o6 Bp4d1, €oercsc q16 goDB@ozrJrn. o16gd go goor oo ur@, ooo qorad @csur roop8 ocDo F€ o16 co.

iF- B oaOo:

gda oooO e:O.6d Spedr cserccnJn:. Ooa 8Q,4d1, €icrc.:c q18 zoOpSOg @csala.

* Ecsoro zDceco qoesul g oE A sooea6 B9edr egcs. B eooccoo B€eor oBoo 6EaJ8Oa eBQ orsiod oqzo qS6c Eoco oc6c6o8o ocd oqutan.

* gdal ogooS B goOo @5!d Eoco cecgceOat EooO eoo: ocOo OOo goeod q1ra.

eoa: lbm oco)ooogdeD € gool Do:ortti,to,rr.r ufrl.glsri {flot6m,i&6nth Omnifpartnlcnt o[ Exilminarions. Sri l.anka I)epart

oG,(,)6ooodeO 0 Oool ao:o oc,o$ooodoa*,,seno gnriro,r,[r urfi'-or4 *loautbomii,i L:rnta Dcpanment of Uxamitarlons, Sri Lankaoc,o6oot64a O Ooo, ao)o oeo)boordoo,iioilto Oalholsu ufiala$ $orm4atnri:

orfrqffi@ahgt adgfigflutrat-bThree hours

@6zrJ cp.dzdod dod6oo0dloOddod g€oJcro€o G!Co, oQ6.

(10) coo€cto o6oo ttomOo gdo qo6G! GQTD

A

I

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l0

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ooepg6ooco

I eBcs

II eBo

OroqO

qOesczl ee€

qo@otD 6eEggdrso@zrl

g4odaJ

ooodo qoo

6,drld og e6dozs

e6dsc aog!: I

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qadoacs zsogf:

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AIJ20,7/lots-tlA.@OEo

drsulOo mg P q"qord oc daaJOo l^g Qq"qozd 8goog2r, urrr v eooO€zrl OEsauo oq6O,gOO Sdcd oo6Od Oa I Oro O ade oUOcOzd Qod O6aro eO. dOcec3 olQoOal oB, P qoqO voDoooai oc Q qoqO z o0oscoai 98A61{0 QocO6O Oezno oO. l,= I OO oozriOc, P aoc Q qadgra:sco8 ccoedaDcs occcoerJar.

zgOc drocrocd oOCgozd d,od Olgurozil roc6o t=0 Q oocogoO Oro 6zdo:ro6nJ SdOeacOooalqcdOo tod drocacd/dooercc6rJ Ad o gogo o6aro cD; ooS,fcgeo. rooerr t=T I Q ooC6o,Olgzoeoul EdloOal god E qQdOo oOod Oga:o oD. l=0 8O oOCgo 68 6,o60 6,co adc g,coc

Os: orod oaCcecJ C0 Cd O@oo aqoc Arooo-ace gdracdocJ qg oOoard qQ6JrD. T, f at gqr6odul, ooCgo ecor I co6O 6,cc occxcrlat.

ALtz0tTnots-r -9-

15. (a) (i) *fu- Salar ooo glgodol grocon rod, o"Gr, I#* eocouja:.

(ii) ozocod ooocsal qglsezDco ocEoocsuJ, I ,r-' dx@coccoc, 6o6d. y = xe-,Oeocoal qx =x=2sl,cy = 0 ode oUoco@zrl q qcoaro oeroqeco8 6Uroe(5 eeoccsaja:.

c

(b\ c >o oc r = [ ln=(c + r) dr rs,B o:J # cr csltd o69. x = c tala0 qco{coo toc8ooorl,

, = *tnc+[t oo oerzrJozrlau o@8 J = Iln(t+tan0)dgoo.aao

a Ec:racod our !rc*= [fra-x)dxggcs ocEraocozri, t = tln2 ao oezrJozrJu:.

I = #tn(2czl o"u

qr.ruLcs rodzdur.

z€Rcs18 oEp. P=(0,1)gzJencs !=mx@Eal oqg gOar /odg o6OcO @o ozoc88oar AO

otlalozrJan.

/ O g@OO P a,6ac I csde oUOsO @nr Oa4@ gzileucsro OcdOc"zo (-mt,t+ 1) qcrocdocoalo16 OO oozrlOnJa:; e@E r csg erdc@8o8.

:-j:1/o erQ e@ooqr q6cs g Qederocs8 odoc"zo (**-,*)@Ezrl oqs6ru @cr5tu25l2t.

16.

17.

msogarcs Ozn EO, Qgdem: *+y'-)=0@6zrl oqp 6Our SOadocs @o 88Ozl OO oeruJOc,

Q I eOoc3 qg ceOozld ry-o6ocs8 qqzrJrrr.

roo q n= (4,1)eSrrcs S @rl BEozo oo oeuJoala.' \ 4' 4lR gzdenoc$ Q S ac8do de6co zodan oc x-qdoo @o ozJuJgc.: 88Oa S' oadnrocJ cs6rod6oe

oescco6jzs..

S'8 odzrlgcs@ odulgcs ogco g18o S qoralodo dc:Uco zodar OaoJnrecJ es@zodocs @csc qdoalar.

(a) (i) oo < 0 < 90o esgoc 2cos(60'.- {) - cosg -;5 oo oezrjoajzo.' sin0

(ii) droocJ oeszrJOc qtE ABCDo4dgocoB AB = AD, IEC = 80", CAD = 2O" at nAC = 60oeo.

le D = a cs18 @E9. AaC $oroJdco €oqeoo eo8reJ EBco tocEoocszd, * = 2bos40o oooc:ajozrJan. ' AB

@croo ADC SozoCoco ooqaoc ts8zrJ EBco oc8rooozd.

AC = sin(20'+ a) Oo oszrJo.,la.AD sina

sin (20' + a) = 2 cos 4Oo sin c OO qoerCoano zodrJzo.

d octd. cot c = 2 cos 49o ---.lc-os

20" oo oozrjozrJzrl.sin 20"

g1al, 9oo (i) A gAd6o oc8oooul, a=30" ao oe:lelozdro.

(D) cos 4x + sin 4x = cos 2x + sin 2r cs0adso Ecsqulu:.

**-*