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Trigonometry and Modelling

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Question 23
a.

Show that

2cos⁡x−sec⁡x=cos⁡2xcos⁡x 2\cos x-\sec x=\frac{\cos 2x}{\cos x} 2cosx−secx=cosxcos2x​
[2]
b.

Hence prove the identity:

2sin⁡x2cos⁡x−sec⁡x≡tan⁡2x \frac{2\sin x}{2\cos x-\sec x}\equiv\tan 2x 2cosx−secx2sinx​≡tan2x
[2]
Markscheme

Trigonometry and Modelling Questions

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

348 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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