A very large number (N+1) polaroids are arranged in a sandwich. The transmission axis of each polaroid is at a constant angle α with respect to its predecessor. Thus the last polaroid is at an angle θ=Nα from the first. A plane polarized light of irradiance I0 is incident on the first poloraid which has a transmission axis parallel to the plane of polarization of the light. Determine the output irradiance from the sandwich. Note: you may use the Taylor expansion to obtain the final result.