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Solve the equation $6\sin^2 x - 5\cos^2 x = 2\sin^2 x + \cos^2 x$ for values of $x$ in the range $0^\circ \leq x \leq 360^\circ$.
Mathematics 9709 · AS & A Level · Trigonometry
Solve the equation $6\sin^2 x - 5\cos^2 x = 2\sin^2 x + \cos^2 x$ for values of $x$ in the range $0^\circ \leq x \leq 360^\circ$.
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply a trig identity, for example $4\sin^2x=6\cos^2x \Rightarrow \tan^2x=\frac{6}{4}$, or any equivalent form” …