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Автор - igorek331

6 sin^2x-5cosx+5=0 найдите корни уравнения на отрезке [-3П; 5П]

Ответ

Автор - gasmina88
6(1-cos ^2x) - 5cosx+5=0
6-6 cos^2x -5cos x+5=0
6cos ^2x +5cosx-11=0
cosx=y
6 y^2 +5y-11=0
D=25-4*6*(-11)=289
 y1=(-5-17)/12=-11/6
y2=(-5+17)/12=1
cosx=1
x=pi*n, n∈Z

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