Автор - abdusheva

5sinx-cos^2x+2sin^2x=1​

Ответ

Автор - igundane

5sin(x)-cos^2(x)+2sin^2(x)=1\5sin(x)-1+sin^2(x)+2sin^2(x)-1=0\3sin^2(x)+5sin(x)-2=0\D_{sin(x)}=25+24=49\sin(x)=-2\sin(x)=frac{1}{3}<=>x=(-1)^karcsin(frac{1}{3} )+pi k

k∈Z

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