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Find the values of $\theta$ that satisfy $2\cos\theta = 7 - \frac{3}{\cos\theta}$ for $-90^\circ < \theta < 90^\circ$.
Mathematics 9709 · AS & A Level · Trigonometry
Find the values of $\theta$ that satisfy $2\cos\theta = 7 - \frac{3}{\cos\theta}$ for $-90^\circ < \theta < 90^\circ$.
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Write a quadratic equation with 3 terms in $\cos\theta$: $2\cos^2\theta - 7\cos\theta + 3 = 0$.” …