◈ Oracle PrepSign Up Free
O-LevelAdditional MathematicsTrigonometry4037/11 · May/June 2014 · Q1112 Marks

Solve 5 sin 2x + 3 cos 2x = 0 for 0° ≤ x ≤ 180°.

  1. (a)Solve 5 sin 2x + 3 cos 2x = 0 for 0° ≤ x ≤ 180°.[4]
  2. (b)Solve 2 cot²y + 3 cosecy = 0 for 0° ≤ y ≤ 360°.[4]
  3. (c)Solve 3cos (z + 1.2) = 2 for 0 ≤ z ≤ 6 radians.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.

  1. [M1] M1 for use of tan
  2. [DM1] DM1 for dealing with 2x correctly
  3. [A1] A1 for each
  4. [A1] A1 for each
  5. [M1] M1 for use of correct identity
  6. [M1] M1 for attempt to factorise a 3 term quadratic equation
  7. [A1] A1 for each
  8. [A1] A1 for each
  9. [M1] M1 for correct order of operations to end up with 0.8411 radians or better
  10. [A1] A1 for one of 5.441 or 7.124 (or better)
  11. [A1] A1 for each valid solution
  12. [A1] A1 for each valid solution

Write your answer and get it marked

On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.

Sign up free →

About this question

Topic
Trigonometry, O-Level Additional Mathematics (syllabus 4037). Structured question, 12 marks.
Source
O-Level Additional Mathematics, May/June 2014 Paper 1 Variant 1, question 11.

Questions and mark schemes are from past examination papers and remain the copyright of the exam board. How Oracle Prep builds its content

Related Additional Mathematics questions

TrigonometryMay/June 201011m

Solve

TrigonometryMay/June 20106m

Given that sinx = p and cosx = 2p, where x is acute, find the exact value of p and the value of cosecx.

TrigonometryMay/June 20109m

Solve, for 0 < x < 3 radians, the equation 4 sin x – 3 = 0, giving your answers correct to 2 decimal places.

Logarithmic and exponential functionsMay/June 20126m

Solve the equation 3²ˣ = 1000, giving your answer to 2 decimal places.

Differentiation and integrationMay/June 20126m

Given that f(x) = x² - 648/√x, find the value of x for which f''(x) = 0.

Vectors in two dimensionsMay/June 20128m

Relative to an origin O, the position vectors of the points A and B are 2i – 3j and 11i + 9j respectively.

← Browse all past-paper questions

© 2026 Oracle Prep