OCR MEI C4 — Question 6 4 marks

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicReciprocal Trig & Identities
TypeSketch reciprocal function graphs
DifficultyModerate -0.8 This is a straightforward sketching task requiring knowledge that cot x = 1/tan x and recognition that they intersect where tan x = ±1 (at x = ±π/4, etc.). The asymptotes and basic shape follow directly from the reciprocal relationship. Minimal problem-solving required beyond recall and application of the reciprocal transformation.
Spec1.05h Reciprocal trig functions: sec, cosec, cot definitions and graphs

6 Use the Insert provided for this question. The graph of \(y = \tan x\) is given on the Insert.
On this graph sketch the graph of \(y = \operatorname { cotx }\).
Show clearly where your graph crosses the graph of \(y = \tan x\) and indicate the asymptotes.

Question 6:
AnswerMarks Guidance
AnswerMarks Guidance
2 branches correctB1
Zeros correctB1
Asymptotes correctB1
Crosses \(y = \tan x\) at \((45, 1)\), \((315, -1)\), \((135, -1)\) and \((225, 1)\)B1
Total: 4 marks
## Question 6:

| Answer | Marks | Guidance |
|--------|-------|----------|
| 2 branches correct | B1 | |
| Zeros correct | B1 | |
| Asymptotes correct | B1 | |
| Crosses $y = \tan x$ at $(45, 1)$, $(315, -1)$, $(135, -1)$ and $(225, 1)$ | B1 | |
| **Total: 4 marks** | | |

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6 Use the Insert provided for this question.
The graph of $y = \tan x$ is given on the Insert.\\
On this graph sketch the graph of $y = \operatorname { cotx }$.\\
Show clearly where your graph crosses the graph of $y = \tan x$ and indicate the asymptotes.

\hfill \mbox{\textit{OCR MEI C4  Q6 [4]}}