Question

sin x + cos^2x=54 решить

Answer 1

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