Question

Sin3x-sin17x=0 Решить уравнение

Answer 1

По разности синусов:
sin(3x) - sin(17x) = 2*cos(10x)*sin(-7x) = -2cos(10x)*sin(7x) = 0
cos(10x) = 0, 10x = π/2 + πk, x = π/20 + πk/10, k∈Z
sin(7x) = 0, 7x = πk, x = πk/7, k∈Z