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Beherit666
@Beherit666
July 2022
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Решения с объяснениями
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Spin17
1) sin(π-x)=-1
π-x=-π/2+2πn, n∈Z
x-π=π/2+2πn, n∈Z
x=3π/2+2πn, n∈Z
x=-π/2+2πn, n∈Z
2) 8 sin(x/3) cos(x/3) - 2√2 = 0
4 sin(2x/3) = 2√2
sin (2x/3) = √2/2
2x/3 = (-1)^n (π/4) + πn, n∈Z
x = (-1)^n (3π/8) + 3πn/2, n∈Z
x₁ = π/8 + πn, n∈Z
x₂ = 3π/8 + πn, n∈Z
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Beherit666
Можно объяснение всех ваших действий?
Spin17
Я же все подробно расписал. В какой строке непонятно?
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Answers & Comments
π-x=-π/2+2πn, n∈Z
x-π=π/2+2πn, n∈Z
x=3π/2+2πn, n∈Z
x=-π/2+2πn, n∈Z
2) 8 sin(x/3) cos(x/3) - 2√2 = 0
4 sin(2x/3) = 2√2
sin (2x/3) = √2/2
2x/3 = (-1)^n (π/4) + πn, n∈Z
x = (-1)^n (3π/8) + 3πn/2, n∈Z
x₁ = π/8 + πn, n∈Z
x₂ = 3π/8 + πn, n∈Z