| Exam Board | OCR MEI |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Year | 2010 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Trig Graphs & Exact Values |
| Type | Read parameters from graph of transformed trig function |
| Difficulty | Moderate -0.8 This question requires reading amplitude, vertical shift, and period from sine graphs to determine parameters a, b, and c. While it involves multiple parameters, the process is straightforward pattern recognition with standard formulas (amplitude = (max-min)/2, vertical shift = (max+min)/2, period relates to c). This is a routine C3 skill requiring minimal problem-solving beyond direct application of graph transformation rules. |
| Spec | 1.05f Trigonometric function graphs: symmetries and periodicities |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(a=0, b=3, c=2\) | B2,1,0 | or \(a=0, b=-3, c=-2\) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(a=1, b=-1, c=1\) or \(a=1, b=1, c=-1\) | B2,1,0 [4] |
# Question 5:
## Part (i):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $a=0, b=3, c=2$ | B2,1,0 | or $a=0, b=-3, c=-2$ |
## Part (ii):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $a=1, b=-1, c=1$ or $a=1, b=1, c=-1$ | B2,1,0 [4] | |
---5 The curves in parts (i) and (ii) have equations of the form $y = a + b \sin c x$, where $a , b$ and $c$ are constants. For each curve, find the values of $a , b$ and $c$.\\
(i)\\
\includegraphics[max width=\textwidth, alt={}, center]{3b3e20ee-457c-46be-b2e5-12573bee2fbf-2_455_679_1800_365}\\
(ii)\\
\includegraphics[max width=\textwidth, alt={}, center]{3b3e20ee-457c-46be-b2e5-12573bee2fbf-2_374_679_2311_365}
\hfill \mbox{\textit{OCR MEI C3 2010 Q5 [4]}}