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