OCR MEI C2 — Question 6 3 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicStandard trigonometric equations
TypeSimple double angle equations (direct substitution)
DifficultyModerate -0.8 This is a straightforward double-angle trig equation requiring students to substitute u=2x, find reference angles using inverse sine, identify solutions in the expanded range 0°<2x<360°, then divide by 2. It's more routine than average since it only requires one standard technique with no complications, though slightly more involved than basic single-angle equations.
Spec1.05o Trigonometric equations: solve in given intervals

6 Solve the equation \(\sin 2 x = - 0.5\) for \(0 ^ { \circ } < x < 180 ^ { \circ }\).

Question 6:
AnswerMarks Guidance
6105 and 165 3
Question 6:

6 | 105 and 165 | 3 | B1 for one of these or M1 for $2x = 210$ or 330 | 3
6 Solve the equation $\sin 2 x = - 0.5$ for $0 ^ { \circ } < x < 180 ^ { \circ }$.

\hfill \mbox{\textit{OCR MEI C2  Q6 [3]}}