Тригонометрические уравнения

Решите уравнение: sin(x) = 0.5

• x = 3π/4 + 2kπ

• x = 0 + 2kπ

• x = π/4 + 2kπ

• x = π/6 + 2kπ, x = 5π/6 + 2kπ, k ∈ Z

Найдите x: cos(x) = -1/2

• x = 2π/3 + 2kπ, x = 4π/3 + 2kπ, k ∈ Z

• x = 0 + 2kπ

• x = 5π/3 + 2kπ

• x = π/3 + 2kπ

Решите уравнение: tan(x) = 1

• x = 3π/4 + kπ, k ∈ Z

• x = π/2 + kπ, k ∈ Z

• x = 0 + kπ, k ∈ Z

• x = π/4 + kπ, k ∈ Z

Найдите все решения: sin(2x) = 0

• x = nπ/4, n ∈ Z

• x = nπ/3, n ∈ Z

• x = nπ, n ∈ Z

• x = nπ/2, n ∈ Z

Решите уравнение: cos(2x) = 0

• x = (2n) * (π/3), n ∈ Z

• x = (2n + 1) * (π/4), n ∈ Z

• x = n * π, n ∈ Z

• x = (2n + 1) * (π/2), n ∈ Z

Найдите x: sin(x) + 1 = 0

• x = π/2 + 2kπ, k ∈ Z

• x = 0 + 2kπ, k ∈ Z

• x = (3π/2) + 2kπ, k ∈ Z

• x = π + 2kπ, k ∈ Z

Решите уравнение: tan(x) = √3

• x = π/4 + kπ, k ∈ Z

• x = 2π/3 + kπ, k ∈ Z

• x = π/3 + kπ, k ∈ Z

• x = π/6 + kπ, k ∈ Z

Найдите все решения: cos(x) = 0

• x = (2n - 1)π/2, n ∈ Z

• x = (2n + 1)π/2, n ∈ Z

• x = (2n)π, n ∈ Z

• x = nπ, n ∈ Z

Решите уравнение: sin(x) = -√2/2

• x = 2π/3 + 2kπ

• x = 5π/4 + 2kπ, x = 7π/4 + 2kπ, k ∈ Z

• x = 3π/4 + 2kπ

• x = π/4 + 2kπ

Найдите x: 2sin(x) - 1 = 0

• x = π/2 + 2kπ, k ∈ Z

• x = π/4 + 2kπ, k ∈ Z

• x = 3π/2 + 2kπ, k ∈ Z

• x = π + 2kπ, k ∈ Z