| Exam Board | CAIE |
|---|---|
| Module | P1 (Pure Mathematics 1) |
| Year | 2014 |
| Session | June |
| Marks | 2 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Trig Graphs & Exact Values |
| Type | Read parameters from graph of transformed trig function |
| Difficulty | Easy -1.2 This is a straightforward question requiring students to read amplitude and vertical shift from a sine graph. It involves basic pattern recognition (identifying that amplitude = b and vertical shift = a) with no calculation or problem-solving beyond reading values from the diagram. Simpler than average A-level questions. |
| Spec | 1.05f Trigonometric function graphs: symmetries and periodicities |
| Answer | Marks | Guidance |
|---|---|---|
| \(a = 1, b = 2\) | B1B1 [2] | Or \(1 + 2\sin x\) |
$a = 1, b = 2$ | B1B1 [2] | Or $1 + 2\sin x$1\\
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The diagram shows part of the graph of $y = a + b \sin x$. State the values of the constants $a$ and $b$. [2
\hfill \mbox{\textit{CAIE P1 2014 Q1 [2]}}