OCR MEI C2 2005 January — Question 3 4 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2005
SessionJanuary
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicTrigonometric equations in context
TypeSketch basic trig graph and solve
DifficultyModerate -0.8 This is a straightforward C2 question requiring a standard sine graph sketch and solving a basic trig equation using calculator + symmetry. Both parts are routine exercises with no problem-solving required, making it easier than average but not trivial since it requires understanding of the CAST diagram and reference angles.
Spec1.05f Trigonometric function graphs: symmetries and periodicities1.05o Trigonometric equations: solve in given intervals
3 Sketch the graph of \(y = \sin x\) for \(0 ^ { \circ } \leqslant x \leqslant 360 ^ { \circ }\).
Solve the equation \(\sin x = - 0.2\) for \(0 ^ { \circ } \leqslant x \leqslant 360 ^ { \circ }\).
AnswerMarks Guidance
At least 1 period of sine curve. Sine curve from 0 to 360G1 ± 1 indicated
\(191.537\) rot to 3 or more sfB1 After B1 B1, -1 for extras in the range. SC1 for 192.8 and 347.2 (grads)
\(348.463\) rot to 3 or more sfB1 SC1 for 180.2 and 359.8 (radians)
4 marks 
At least 1 period of sine curve. Sine curve from 0 to 360 | G1 | ± 1 indicated
$191.537$ rot to 3 or more sf | B1 | After B1 B1, -1 for extras in the range. SC1 for 192.8 and 347.2 (grads)
$348.463$ rot to 3 or more sf | B1 | SC1 for 180.2 and 359.8 (radians)
| | 4 marks |
3 Sketch the graph of $y = \sin x$ for $0 ^ { \circ } \leqslant x \leqslant 360 ^ { \circ }$.\\
Solve the equation $\sin x = - 0.2$ for $0 ^ { \circ } \leqslant x \leqslant 360 ^ { \circ }$.

\hfill \mbox{\textit{OCR MEI C2 2005 Q3 [4]}}
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Q1 3 Q2 4 Q3 4 Q4 5 Q5 5 Q6 5 Q7 5 Q8 5 Q9 12 Q10 11 Q11 13