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Trigonometry and Modelling

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Question 8
a.

Express 8cos⁡x+15sin⁡x8 \cos x + 15 \sin x8cosx+15sinx 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)=3+8cos⁡x+15sin⁡x0≤x<2π f(x) = 3 + 8 \cos x + 15 \sin x \quad 0 \leq x < 2\pi f(x)=3+8cosx+15sinx0≤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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