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Trigonometry and Modelling

Trigonometry and Modelling

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Question 50
a.

In a study of mechanical resonance, an engineer models the response of a vibrating system where the amplitude ratio RRR is determined by an angle of oscillation θ\thetaθ. For sin⁡2θ≠0\sin 2\theta \neq 0sin2θ=0, prove the identity

2cosec 2θ−tan⁡θ=cot⁡θ 2\text{cosec } 2\theta - \tan \theta = \cot \theta 2cosec 2θ−tanθ=cotθ
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b.

Explain why the identity 2cosec 2θ−tan⁡θ=cot⁡θ2\text{cosec } 2\theta - \tan \theta = \cot \theta2cosec 2θ−tanθ=cotθ is not valid for values of θ\thetaθ where sin⁡θ=0\sin \theta = 0sinθ=0.

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Markscheme

Trigonometry and Modelling Questions

  1. A Level
  2. /Maths
  3. /Trigonometry and Modelling

137 exam-style questions on Edexcel A Level Maths Trigonometry and Modelling, covering 7.1 Addition Formulae, 7.2 Double Angle Formulae, 7.3 Solving Trigonometric Equations, 7.4 Simplifying a cos x +- b sin x, 7.5 Proving Trigonometric Identities, and 7.6 Modelling with Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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