Решите уравнение
1. sin²x - sin x = 0 ;
2. 2cos²x - sin x - 1 = 0 .
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1.
sin²x - sin x =0 ⇔sinx(sinx - 1) =0 ⇔ [ sinx =0 ; sinx -1 =0 .( совокупность ур.)
а) sinx = 0 ⇒ x =πk , k∈ℤ .
б) sinx =1 ⇒ x =π/2+ 2πn , n∈ℤ .
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2.
2cos²x - sin x - 1 = 0 ;
2(1 -sin²x) - sin x - 1 = 0 ;
2 -2sin²x - sin x - 1 = 0 ;
-2sin²x - sin x + 1 = 0 ;
2sin²x + sin x - 1 = 0 ;
sinx =(-1±√( (1 -4*2(-1) ) ) /2*2
а) sinx = (-1 -3) /4 = - 1 ⇒ x = -π/2 +2πk , k ∈ℤ ;
б) sinx = (-1 +3) /4 = 1/2 ⇒ x = (-1)ⁿπ/6 +πn , n ∈ℤ .
1)c3h6+hoh(н+) =c3h7oh-получение
2c3h7oh+2na=2c3h7ona+h2
ch3-ch2-ch2oh+cuo(t) =ch3-ch2-coh+cu+h2o
2)сh3-ch2-ch2-ch2oh + cuo(t) =ch3-ch2-ch2-coh +cu+h2o-получение
ch3-ch2-ch2-coh+h2=ch3-ch2-ch2-ch2oh
ch3-ch2-ch2-coh+ag2o(t) = ch3-ch2-ch2-cooh+2ag
3)2ch3-(ch2)3-cooh+2na=2ch3-(ch2)3-coona+h2
2ch3-(ch2)3-cooh+mgo=(ch3-ch2-ch2-ch2-coo)2mg+h2o
ch3-(ch2)3-cooh+naoh=ch3-(ch2)3-coona+h2o
2ch3-(ch2)3-cooh+na2co3=2ch3-(ch2)3-coona+co2+h2o
4)c2h5oh+ch3-cooh= c2h5-o-co-ch3+h2o
c5h11oh+h-cooh= c5h11-o-co-h +h2o
c7h13oh+c2h5-cooh= c7h13-o-co-c2h5+h2o
c5h11oh+ c5h11-cooh=c5h11-o-co-c5h11+ h2o