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Trigonometry and Modelling

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Question 27
a.

Express 53cos⁡x+5sin⁡x5\sqrt{3} \cos x + 5 \sin x53​cosx+5sinx in the form Rcos⁡(x−a)R \cos(x - a)Rcos(x−a) where R>0 R > 0\,R>0 and 0≤a≤π2\displaystyle 0 \leq a \leq \frac{\pi}{2}0≤a≤2π​

[3]
b.

Write down the range of the function

f(x)=4+53cos⁡x+5sin⁡x0≤x<2π f(x) = 4 + 5\sqrt{3} \cos x + 5 \sin x \quad 0 \leq x < 2\pi f(x)=4+53​cosx+5sinx0≤x<2π
[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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