Решите уравнение: 1-4sinxcosx=0

Question

Решите уравнение:
1-4sinxcosx=0

Answer 1

1 - 4sinx*cosx = 0
1 - 2sin(2x) = 0
2sin(2x) = 1
sin(2x) = 1/2
2x = π/6 + 2πk, x = π/12 + πk
2x = 5π/6 + 2πk, x = 5π/12 + πk