O-LevelAdditional MathematicsTrigonometry4037/11 · May/June 2013 · Q31 Mark

State the number of solutions of the equation cosx - sin 2x = 1, for 0 ≤ x ≤ 2π.

✓ Correct answer

C: 3

Oracle Prep sorts past-paper questions by topic, so you can drill Trigonometry and see which topics are most likely to come up next.

Topic: Trigonometry, O-Level Additional Mathematics (syllabus 4037). Multiple choice, 1 mark.
Source: O-Level Additional Mathematics, May/June 2013 Paper 1 Variant 1, question 3.

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

Solve

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

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

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

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

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