Решите уравнение: cos2xtgx+tgx-cos2x=1

[latex] \cos(2x) \cdot tg(x) + tg(x) - \cos(2x) = 1 [/latex] [latex] \cos(2x) \cdot tg(x) + tg(x) - \cos(2x) - 1 = 0 [/latex] [latex] tg(x) \cdot ( \cos(2x) + 1 ) - (\cos(2x) + 1) = 0 [/latex] [latex] (\cos(2x) + 1) \cdot (tg(x) - 1) = 0 [/latex] [latex] \cos(2x)+1 = 0 [/latex] [latex] tg(x) -1 = 0 [/latex] [latex] cos(2x) = -1 [/latex] [latex] tg(x) = 1 [/latex] Дорешайте сами.