The intensity of polarized light, III, passing through a rotating filter is modeled by the equation I=I0cos2θI = I_0 \cos^2 \thetaI=I0cos2θ where I0I_0I0 is the maximum intensity and θ\thetaθ is the angle of the filter in radians. In a specific experiment, the maximum intensity is measured as I0=12I_0 = 12I0=12 units. Determine all values of θ\thetaθ in the interval 0≤θ≤2π0 \le \theta \le 2\pi0≤θ≤2π for which the intensity III is exactly 999 units. Give your answers in terms of π\piπ.
Practise Edexcel A Level Maths 5.4 Solving Trigonometric Equations with exam-style questions for A Level Maths. 5 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.