Sin x + cos^2x=5\4 решить
Sin x + 1 - sin²x = 5/4 4sin²x - 4sinx + 1 = 0 sin x = t 4t² - 4t + 1 = 0 D = 16 - 16 = 0 t = 4 / 8 = 1/2 sin x = 1/2 x = (- 1)ⁿarcsin (1/2) + πn, n∈Z x = (- 1)ⁿ · π/6 + πn, n∈Z