⇢ Дм
Дмитрий
Светлана Чеботарева
Ответ. 6*(sin(x)+cos(x))-2*sin(x)*cos(x)+6=0; 6*(sin(x)+cos(x))-2*sin(x)*cos(x)+7-(sin(x))^2-(cos(x))^2=0;
6*(sin(x)+cos(x))-(sin(x)+cos(x))^2+7=0;(sin(x)+cos(x))^2-6*(sin(x)+cos(x))-7=0;1). (sin(x)+cos(x))=-1;
1+sin(x)+cos(x)=0; 2*(cos(0,5*x))^2+2*sin(0,5*x)*cos(0,5*x)=0; cos(0,5*x1)=0; tg(0,5*x2)=-1;
ЕИ
Екатерина Иванова
6(sin(x) + cos(x)) - sin(2x) + 6 = 0
6(sin(x) + cos(x) + 1) - sin(2x) = 0
6(sin(x) + 2cos^2(x/2)) - sin(2x) = 0
6sin(x) + 12cos^2(x/2) - 2sin(x)cos(x) = 0
3sin(x) - sin(x)cos(x) + 6cos^2(x/2) = 0
sin(x)(3 - cox(x)) + 6cos^2(x/2) = 0
sin(x)(2 + 2sin^2(x/2)) + 6cos^2(x/2) = 0
sin(x)(1 + sin^2(x/2)) + 3cos^2(x/2) = 0
sin(x)cos^2(x/2) + 3cos^2(x/2) = 0
cos^2(x/2)(sin(x) + 3) = 0
Данное равенство будет обращаться в 0, только когда
cos^2(x/2) = 0
cos(x/2) = 0
x/2 = p/2 + pk
x = p + 2pk, k E Z
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