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.