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1.5.15 Trigonometric equations

1.5.15 Trigonometric equations

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Question 24

A polarizing lens reduces the intensity of an incoming light beam according to the model

L(θ)=12cos⁡2θ L(\theta) = 12\cos^2 \theta L(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.

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1.5.15 Trigonometric equations Questions

  1. A Level
  2. /Maths
  3. /1.5.15 Trigonometric equations

42 exam-style questions on OCR A Level Maths 1.5.15 Trigonometric equations. Each one has a worked solution and a mark scheme showing where the marks go.

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