AQA AS Paper 2 2022 June — Question 2 1 marks

Exam BoardAQA
ModuleAS Paper 2 (AS Paper 2)
Year2022
SessionJune
Marks1
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicStandard trigonometric equations
TypeBasic trig equation solving
DifficultyEasy -1.8 This is a straightforward multiple-choice question requiring only basic knowledge that cos(α) = cos(β) when α = ±β + 360n°. Students substitute θ - 20° = ±60° to get θ = 80° or -40° (equiv. 320°), then select from given options. Single mark, pure recall, no problem-solving.
Spec1.05o Trigonometric equations: solve in given intervals

2 Given that $$\cos \left( \theta - 20 ^ { \circ } \right) = \cos 60 ^ { \circ }$$ which one of the following is a possible value for \(\theta\) ?
Circle your answer.
[0pt] [1 mark] \(40 ^ { \circ }\) \(140 ^ { \circ }\) \(280 ^ { \circ }\) \(320 ^ { \circ }\)

Question 2:
AnswerMarks Guidance
AnswerMark Guidance
\(320°\)B1 (AO1.1b) Circles correct answer
**Question 2:**

| Answer | Mark | Guidance |
|--------|------|----------|
| $320°$ | B1 (AO1.1b) | Circles correct answer |
2 Given that

$$\cos \left( \theta - 20 ^ { \circ } \right) = \cos 60 ^ { \circ }$$

which one of the following is a possible value for $\theta$ ?\\
Circle your answer.\\[0pt]
[1 mark]\\
$40 ^ { \circ }$\\
$140 ^ { \circ }$\\
$280 ^ { \circ }$\\
$320 ^ { \circ }$

\hfill \mbox{\textit{AQA AS Paper 2 2022 Q2 [1]}}