2sinx + 1=tgx + 2sinxtgx

2sinx + 1 = tgx + 2sinxtgx 2sinx - 2sinxtgx + 1 - tgx = 0 2sinx(1 - tgx) + (1 - tgx) = 0 (2sinx + 1)(1 - tgx) = 0 2sinx = -1 sinx = -1/2 x = (-1)ⁿ+¹π/6 + πn, n ∈ Z 1 - tgx = 0 tgx = 1 x = π/4 + πn, n ∈ Z.