O-LevelAdditional MathematicsTrigonometryMay/June 2021Paper 1 Q910 Marks
(a) (i) Write 6xy+3y+4x+2 in the form (ax+b)(cy+d), where a, b, c and d are positive integers. (ii) Hence solve the equation 6 sin $\theta$ cos $\theta$+3 cos $\theta$+4 sin $\theta$+2 = 0 for $0^{\circ} < \theta < 360^{\circ}$. (b) Solve the equation $\frac{1}{2}\sec(2\phi+\frac{\pi}{4})=\frac{1}{\sqrt{3}}$ for $-\pi < \phi < \pi$, where $\phi$ is in radians. Give your answers in terms of $\pi$.
📋 Examiner Report & Trap Analysis
Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...
🎯 Mark Scheme Breakdown
Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.
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