7.3 Solving Trigonometric Equations

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Show that the equation $4cos⁡α+1=3sin⁡αtan⁡α4\cos \alpha + 1 = 3 \sin \alpha \tan \alpha$ can be written in the form $7cos⁡2α+cos⁡α−3=07\cos^2 \alpha + \cos \alpha - 3 = 0$

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A light-sensitive robotic arm measures the angle $ϕ\phi$ (in radians) of incoming radiation. The arm reaches a steady state when $ϕ\phi$ satisfies: $4cos⁡3ϕ+1=3sin⁡3ϕtan⁡3ϕ4\cos 3\phi + 1 = 3 \sin 3\phi \tan 3\phi$ Determine all possible values for $ϕ\phi$ in the interval $\le \phi < \frac{2\pi}{3}$ , giving your answers to 2 decimal places.

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7.3 Solving Trigonometric Equations Questions

Practise Edexcel A Level Maths 7.3 Solving Trigonometric Equations with exam-style questions for A Level Maths. 29 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.