Решите уравнение: 1+3sin2x=2sin2x
Sin2x + 2sin^2x = 0 2sinxcosx + 2sin^2x = 0 sinxcosx + sin^2x = 0 sinx (cosx + sinx) = 0 1) sinx = 0 x = pik, k ∈ Z 2) sinx + cosx = 0 // : cosx≠0 tgx + 1 = 0 tgx = - 1 x = arctg ( - 1) + pik x = - pi/4 + pik, k ∈ Z