Skip to content

Course home

Trigonometry and Modelling

Trigonometry and Modelling

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116
Question 48
a.

Express 7cos⁡x−4sin⁡x7 \cos x - 4 \sin x7cosx−4sinx 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​

[4]
b.

Give full details of a sequence of two transformations needed to transform the curve

y=sec⁡x onto the curve y=17cos⁡x−4sin⁡x y = \sec x \text{ onto the curve } y = \frac{1}{7 \cos x - 4 \sin x} y=secx onto the curve y=7cosx−4sinx1​
[3]
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.

Question bank