OCR MEI C2 — Question 1 3 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicStandard trigonometric equations
TypeBasic trig equation solving
DifficultyEasy -1.2 This is a straightforward one-step trigonometric equation requiring only rearrangement to sin x = -√3/2 and recall of standard angles (60°). Students need to identify solutions in the third and fourth quadrants (240°, 300°), which is routine C2 material with no problem-solving or multi-step reasoning required.
Spec1.05o Trigonometric equations: solve in given intervals
1 Find all the angles in the range \(0 ^ { 0 } \leq x \leq 360 ^ { 0 }\) satisfying the equation \(\sin x + \frac { 1 } { 2 } \sqrt { 3 } = 0\).
Question 1:
AnswerMarks Guidance
\(\sin x + \frac{1}{2}\sqrt{3} = 0 \Rightarrow \sin x = -\frac{1}{2}\sqrt{3}\)M1 For \(60^0\)
\(\Rightarrow x = -60^0 \Rightarrow x = 240^0, 300^0\)A1 A1 Total: 3 
## Question 1:

$\sin x + \frac{1}{2}\sqrt{3} = 0 \Rightarrow \sin x = -\frac{1}{2}\sqrt{3}$ | M1 | For $60^0$

$\Rightarrow x = -60^0 \Rightarrow x = 240^0, 300^0$ | A1 A1 | **Total: 3**

---
1 Find all the angles in the range $0 ^ { 0 } \leq x \leq 360 ^ { 0 }$ satisfying the equation $\sin x + \frac { 1 } { 2 } \sqrt { 3 } = 0$.

\hfill \mbox{\textit{OCR MEI C2  Q1 [3]}}
This paper (12 questions)
View full paper
Q1 3 Q2 3 Q3 3 Q4 5 Q5 4 Q6 5 Q7 5 Q8 4 Q9 4 Q10 12 Q11 12 Q12 12