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Problem The set of values of θ \theta θ 2 sin 2 θ − 5 sin θ + 2 > 0 2\sin^2 \theta - 5\sin \theta + 2 > 0 2 sin 2 θ − 5 sin θ + 2 > 0 0 < θ < 2 π 0 < \theta < 2\pi 0 < θ < 2 π ( 0 , π 6 ) ∪ ( 5 π 6 , 2 π ) \left(0, \frac{\pi}{6}\right) \cup \left(\frac{5\pi}{6}, 2\pi\right) ( 0 , 6 π ) ∪ ( 6 5 π , 2 π ) [ 0 , π 6 ] ∪ [ 5 π 6 , 2 π ] \left[0, \frac{\pi}{6}\right] \cup \left[\frac{5\pi}{6}, 2\pi\right] [ 0 , 6 π ] ∪ [ 6 5 π , 2 π ] [ 0 , π 3 ] ∪ [ 2 π 3 , 2 π ] \left[0, \frac{\pi}{3}\right] \cup \left[\frac{2\pi}{3}, 2\pi\right] [ 0 , 3 π ] ∪ [ 3 2 π , 2 π ] Browse the problem library