Question

sqrt3sin2x+cos2x<или равно 1

Answer 1

√3 * sin(2x) + cos(2x) <=1
√3 * 2sin(x)cos(x) + cos²(x)-sin²(x) <= cos²(x)+sin²(x)
2√3 * sin(x)cos(x) <= 2sin²(x)
√3 * cos(x) <= sin(x)
√3 * ctg(x) <=1
ctg(x) <= 1/√3
x<=π/6 + πn, n=1,2,3...