Ответ:
Объяснение:
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Ответ: 2π/3, 4π/3, 8π/3, 2π
2cosx*sinx = -sinx
sinx*(2cosx + 1) = 0
1) sinx = 0, x = πk
2) cosx = -1/2, x = 2π/3 + 2πk, x = 4π/3 + 2πk
k = 0
x = 0, x = 2π/3 = 120, x = 4π/3 = 240
k = 1
x = π = 180, x = 2π/3 + 2π = 8π/3 =480 , x = 4π/3 + 2π = 10π/3 = 600
k = 2
x = 2π = 360
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Ответ:
Объяснение:
!!!!!!!!!!!!!!!!!!!!!!!
Verified answer
Ответ: 2π/3, 4π/3, 8π/3, 2π
Объяснение:
2cosx*sinx = -sinx
sinx*(2cosx + 1) = 0
1) sinx = 0, x = πk
2) cosx = -1/2, x = 2π/3 + 2πk, x = 4π/3 + 2πk
k = 0
x = 0, x = 2π/3 = 120, x = 4π/3 = 240
k = 1
x = π = 180, x = 2π/3 + 2π = 8π/3 =480 , x = 4π/3 + 2π = 10π/3 = 600
k = 2
x = 2π = 360