(5sin6x – 5cos6x) + 4 = 2sin12x
5(sin6x – cos6x) + 4 = 2sin12x
sin6x – cos6x = t,
(sin6x – cos6x)^2 = t^2,
(sin^2(6x) - 2 sin6xcos6x + cos^2(6x)) = t^2
1 – sin12x = t^2
sin12x = 1 - t^2
Данное уравнение примет вид:
5t + 4 = 2 – 2t^2
2t^2 + 5t + 2 = 0
t = -2
t = -1/2
Продолжение во влож.
