AQA Paper 3 2021 June — Question 1 1 marks

Exam BoardAQA
ModulePaper 3 (Paper 3)
Year2021
SessionJune
Marks1
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicComplex Numbers Argand & Loci
TypeModulus-argument form conversion
DifficultyEasy -2.0 This is a simple recall question worth 1 mark requiring only knowledge that arccos has domain [-1,1] and range [0,π], so the endpoint P is at (-1,π). No calculation or problem-solving is needed, just basic function knowledge from the specification.
Spec1.05i Inverse trig functions: arcsin, arccos, arctan domains and graphs

The graph of \(y = \arccos x\) is shown. \includegraphics{figure_1} State the coordinates of the end point \(P\). Circle your answer. [1 mark] \((-\pi, 1)\) \quad \((-1, \pi)\) \quad \(\left(-\frac{\pi}{2}, 1\right)\) \quad \(\left(-1, \frac{\pi}{2}\right)\)

Question 1:
AnswerMarks Guidance
1Circles correct answer 1.2
Total1
QMarking instructions AO
Question 1:
1 | Circles correct answer | 1.2 | B1 | (−1,π )
Total | 1
Q | Marking instructions | AO | Marks | Typical solution
The graph of $y = \arccos x$ is shown.

\includegraphics{figure_1}

State the coordinates of the end point $P$.

Circle your answer.
[1 mark]

$(-\pi, 1)$ \quad $(-1, \pi)$ \quad $\left(-\frac{\pi}{2}, 1\right)$ \quad $\left(-1, \frac{\pi}{2}\right)$

\hfill \mbox{\textit{AQA Paper 3 2021 Q1 [1]}}