Skip to content
MathsGenie logo
Open app

Course home

  1. A Level
  3. Maths AQA
  5. Question bank

1 Pure Mathematics

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116
Question 18
a.

Show that the equation

3sin⁡2xtan⁡2x=cos⁡2x+2 3\sin 2x \tan 2x = \cos 2x + 2 3sin2xtan2x=cos2x+2

Can be written in the form

4cos⁡22x+2cos⁡2x−3=0 4\cos^2 2x + 2\cos 2x - 3 = 0 4cos22x+2cos2x−3=0
[4]
b.

Find all values for x x\,x in the interval 0≤x<180∘0 \leq x < 180^\circ0≤x<180∘, for which

3sin⁡2xtan⁡2x=cos⁡2x+2 3\sin 2x \tan 2x = \cos 2x + 2 3sin2xtan2x=cos2x+2

Give your answers to two decimal places.

[6]

1 Pure Mathematics Questions

  1. A Level
  2. /Maths
  3. /1 Pure Mathematics

Question bank