Question

Решить уравнение Sin 3x= -0,5

Answer 1

Решение
sin3x = - 1/2
3x = (-1)^n*arcsin(-1/2) + πn, n∈Z
3x = (-1)^(n+1)*arcsin(1/2) + πn, n∈Z
3x = (-1)^(n+1)*(π/6) + πn, n∈Z
x = (-1)^(n+1)*(π/18) + (πn)/3, n∈Z