If the solutions for from the equation lie in

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If the solutions for θ\theta from the equation sin⁡2θ−2sin⁡θ+λ=0\sin^2 \theta - 2\sin \theta + \lambda = 0 lie in ⋃n∈Z(2nπ−π6,(2n+1)π+π6)\bigcup_{n \in \mathbb{Z}} \left(2n\pi - \frac{\pi}{6}, (2n+1)\pi + \frac{\pi}{6}\right) . Then, find the possible set values of λ\lambda .

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