Решите уравнение:

sin7x-cos13x=0

sin7x-cos13x=0

Cos (π/2 - 7x) - Cos13x = 0

-2Sin (π/4 - 2x) Sin (π/4 - 10x) = 0

Sin (π/4 - 2x) = 0 или Sin (π/4 - 10x) = 0

π/4 - 2x = nπ, n ∈Z π/4 - 10x = πk, k ∈ Z

2x = π/4 - nπ, n ∈Z 10x = π/4 - πk, k ∈Z

x = π/8 - nπ/2, n ∈Z x = π/40 - πk/10, k ∈Z