Question

sin7x+sin3x=0 помогите сделать

Answer 1

Решение
Sin7x+sin3x=0
2sin(7x+3x)/2 * cos(7x-3x)/2 = 0
1)  sin5x = 0
5x = πk, k ∈Z
x = πk/5, k ∈Z
2)  cos2x = 0
2x = π/2 + πn, n ∈ Z
x = π/4 + πn/2, n ∈ Z