Find all solutions in the interval [0, 2π).

2 sin2x = sin x

answers:
x = π/3, 2π/3
x = π/2, 3π/2, π/3, 2π/3
x = 0, π, π/6, 5π/6
x= π/6, 5π/6

Abilliard ball is struck by a cue. it travels 1 0 0 cm 100cm before ricocheting off a rail and traveling another 1 2 0 cm 120cm into a corner pocket. the angle between the path as the ball approaches the rail and the path after it strikes the rail is 4 5 ∘ 45 ∘ . how far is the corner pocket from where the cue initially struck the ball? do not round during your calculations. round your final answer to the nearest centimeter.