Sin2xtgx-tgx+sin2x=1

sin2xtgx - tgx + sin2x = 1 sin2xtgx - tgx + sin2x - 1 = 0 tgx(sin2x - 1) + (sin2x - 1) (tgx + 1)(sin2x - 1) = 0 tgx + 1 = 0 tgx = -1 x = -π/4 + πn, n ∈ Z. sin2x - 1 = 0 sin2x = 1 2x = π/2 + 2πn, n ∈ Z x = π/4 + πn, n ∈ Z