Question

Помогите пожалуйста с этой задачей . Sin10x -cos4x = 0

Answer 1

sin10x - cos4x = 0
2*[cos(10x + 4x)/2 * sin(10x - 4x)/2] = 0
2*(cos7x) *(sin3x) = 0
1)  cos7x = 0
7x = π/2 + πn, n∈Z
x1 = π/14 + πn/7, n∈Z
2)  sin3x = 0
3x = πk, k∈Z
x2 = πk/3, k∈Z