Задача 71257 cos2x = -sqrt(3)/2...

63a199af8597ce7578776f97

05.05.2023 19:58:07

cos2x = -sqrt(3)/2

5f3ea7e3faf909182968ddd9

06.05.2023 11:09:10

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[m]2x= ± arccos(-\frac{\sqrt{3}}{2})+2πn, n ∈ [/m][b]Z[/b]

[m]2x= ±(π -arccos\frac{\sqrt{3}}{2})+2πn, n ∈ [/m][b]Z[/b]

[m]2x= ±(π -\frac{π}{6})+2πn, n ∈ [/m][b]Z[/b]

[m]2x= ±\frac{5π}{6}+2πn, n ∈ [/m][b]Z[/b]

[m]x= ±\frac{5π}{12}+πn, n ∈ [/m][b]Z[/b]


О т в е т. Б)