Mark M. answered 10/11/19
Mathematics Teacher - NCLB Highly Qualified
1.
60° is the reference angle. The condition is that x is not acute. Therefore the angles are 120°, 240°, and 300°.
2.
sin3 θ - sin θ = 0
sin θ (sin2 θ - 1) = 0
sin θ = 0→ θ is 0° or 180°
sin2 θ = 1
sin θ = ±1→ θ is 90º or 270º
4.
2(sin2 x - cos2 x) = 0
sin2 x - cos2 x = 0
(sin x + cos x)(sin x - cos x) = 0
sin x = - cos x→ x is 135° or 315°
sin x = cos x→x is 45° or 225°