Question

решить неравенство sin4х>1/2

Answer 1

sin(4x) > 1/2
arcsin(1/2) < 4x < π - arcsin(1/2) + 2πn, n∈Z
π/6 < 4x < π - π/6 + 2πn, n∈Z
π/6 < 4x < 5π/6 + 2πn, n∈Z
π/24 < x < 5π/24 + πn/2, n∈Z