Find the set of values of such that holds for some .

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

Problem

Find the set of values of λ∈R\lambda \in \mathbb{R} such that tan⁡2θ+sec⁡θ=λ\tan^2 \theta + \sec \theta = \lambda holds for some θ\theta .

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