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Find the values of $\theta$ that satisfy $\frac{13\sin^2\theta}{2 + \cos\theta} + \cos\theta = 2$ for $0^\circ \leq \theta \leq 180^\circ$.
Mathematics 9709 · AS & A Level · Trigonometry
Find the values of $\theta$ that satisfy $\frac{13\sin^2\theta}{2 + \cos\theta} + \cos\theta = 2$ for $0^\circ \leq \theta \leq 180^\circ$.