OCR MEI C2 2009 January — Question 4 3 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2009
SessionJanuary
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 solve sin(2x) = -0.5, find the angles where sine equals -0.5, then divide by 2 to find x. It's a standard C2 exercise with clear method and no conceptual challenges, making it easier than average but not trivial since students must handle the double angle and range correctly.
Spec1.05o Trigonometric equations: solve in given intervals

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

4 Solve the equation $\sin 2 x = - 0.5$ for $0 ^ { \circ } < x < 180 ^ { \circ }$.

\hfill \mbox{\textit{OCR MEI C2 2009 Q4 [3]}}