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Nicotine6996
@Nicotine6996
July 2022
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Помогите плиз с алгеброй!1!
cos(3x-п/4)=1/2
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Хуqожнuк
Verified answer
Cos(3x - π/4) = 1/2
3x - π/4 = π/3 + 2πn
3x - π/4 = -π/3 + 2πn
3x = π/3 + 2πn + π/4
3x = -π/3 + 2πn + π/4
3x = 7π/12 + 2πn
3x = -π/12 + 2πn
x = 7π/36 + 2/3 * πn
x = -π/36 + 2/3 * πn
Ответ: -π/36 + 2πn/3; 7π/36 + 2πn; n ∈ Z
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Answers & Comments
Verified answer
Cos(3x - π/4) = 1/23x - π/4 = π/3 + 2πn
3x - π/4 = -π/3 + 2πn
3x = π/3 + 2πn + π/4
3x = -π/3 + 2πn + π/4
3x = 7π/12 + 2πn
3x = -π/12 + 2πn
x = 7π/36 + 2/3 * πn
x = -π/36 + 2/3 * πn
Ответ: -π/36 + 2πn/3; 7π/36 + 2πn; n ∈ Z