The intensity of polarized light, III, passing through a rotating filter is modeled by the equation
I=I0cos2θ I = I_0 \cos^2 \theta I=I0cos2θwhere 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 AQA A Level Maths 1.8 E: Trigonometry with exam-style questions for A Level Maths. 239 questions covering 1.8.1 Trigonometric definitions, rules and radians, 1.8.2 Small angle approximations (A-level only), 1.8.3 Trigonometric functions and exact values, 1.8.4 Reciprocal and inverse trigonometric functions (A-level only), 1.8.5 Trigonometric identities, 1.8.6 Compound and double angle formulae (A-level only), 1.8.7 Solving trigonometric equations, 1.8.8 Proofs with trigonometric identities, and 1.8.9 Trigonometry in context, matched to the AQA A Level Maths (7357) 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.
