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Trigonometry and Modelling

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Question 124
a.

Show that 3sin⁡x−cos⁡x=2sin⁡(x−π6)\displaystyle \sqrt{3} \sin x - \cos x = 2 \sin\left(x - \frac{\pi}{6}\right)3​sinx−cosx=2sin(x−6π​)

[3]
b.

Hence determine a sequence of transformations which maps the graph of y=sin⁡xy = \sin xy=sinx onto the graph of y=3sin⁡x−cos⁡x+3y = \sqrt{3} \sin x - \cos x + 3y=3​sinx−cosx+3

[4]
c.

Calculate the minimum value of 13sin⁡x−cos⁡x+3\displaystyle \frac{1}{\sqrt{3} \sin x - \cos x + 3}3​sinx−cosx+31​

[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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