3 тригонометрических уравнения.

1) sin2x=-√2/2

2) cos (x+pi/6) = 1

3) tg^2 x+2tgx-3=0

1) sin2x = - √2/2 3) tg²x + 2tgx - 3 = 0

2x = (-1) ⁿ · (-π/4) + πn, n∈ Z tgx = y

x = (-1) ⁿ⁺¹ · π/8 + πn/2, n ∈ Z y² + 2y - 3 = 0

D = (-2) ² - 4 · 1 · (-3) = 16; √16 = 4

2) cos (x + π/6) = 1 y₁ = (-2 + 4) / 2 = 1 y ₂ = (-2 - 4) / 2 = - 3

x + π/6 = 2πn, n ∈ Z tgx = 1

x = - π/6 + 2πn, n ∈ Z x = π/4 + πn, n ∈ Z

tgx = - 3

x = - arctg3 + πn, n ∈ Z