Question

Решите уравнение
Sin px/18= –корень3/2

Answer 1

Решение
sin(px/18) = - √3/2
px/18 = (-1)^n arcsin(-√3/2) + πk, k ∈ Z
px/18 = (-1)^(n + 1) arcsin(√3/2) + πk,k ∈ z
px/18 = (-1)^(n + 1)*(π/3) +πk, k ∈ Z
x = (-1)^(n + 1)*(6π/p) + 18πk/p, k ∈ Z