4sin^2(2x+π/3) = 1
sin^2(2x+π/3) = 1/4
sin(2x+π/3) = ±1/2
2x + π/3 = arcsin(±1/2)
2x + π/3 = π/6 or 2x + π/3 = 5π/6 or 2x + π/3 = 7π/6 or 2x + π/3 = 11π/6
Solving for x:
x = -π/6 or x = π/12 or x = 3π/6 or x = 5π/6
Answer: x = -π/6, π/12, 3π/6, 5π/6.
4sin^2(2x+π/3) = 1
sin^2(2x+π/3) = 1/4
sin(2x+π/3) = ±1/2
2x + π/3 = arcsin(±1/2)
2x + π/3 = π/6 or 2x + π/3 = 5π/6 or 2x + π/3 = 7π/6 or 2x + π/3 = 11π/6
Solving for x:
x = -π/6 or x = π/12 or x = 3π/6 or x = 5π/6
Answer: x = -π/6, π/12, 3π/6, 5π/6.