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pripremni zadaci za prijemni ispit građevinski fakultet univerziteta u ...

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47a)45 0 ; b)90 0 ; c)60 0 ; d)135 0 .Korisneformule:1+ cos2 1cos2cos =± , sin =± ,2 2cos( x + y)= cos x cos y sin x sin y.Upravouglomtrougluijesukateteaib,ahipotenu<strong>za</strong>c:sin= a c ,cos= b c RJEŠENJA1.ZadatakKvadratnitrinomf(x)=ax 2 +2bx+cnemijenjaznakakojediskriminantaD=b 2 –ac0,tj. (f x0 D 0 a < 0 )x R (f x 0 D 0 a > 0 )Dakle,2 2( )( ) ( )( ) ( )( x R m 1 x + 2mx+ m 0) D = m m 1 m = m 0 m 1

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