A polarizing lens reduces the intensity of an incoming light beam according to the model L(θ)=12cos2θL(\theta) = 12\cos^2 \thetaL(θ)=12cos2θ where LLL is the transmitted intensity in candelas and θ\thetaθ is the orientation angle of the lens in radians.
Determine all values of θ\thetaθ in the interval 0≤θ≤2π0 \le \theta \le 2\pi0≤θ≤2π for which the transmitted intensity is exactly 999 candelas. Give your answers as exact multiples 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.