OCR MEI C2 — Question 4 2 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Marks2
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicTrigonometric equations in context
TypePeriodicity and symmetry of trig functions
DifficultyModerate -0.8 This question requires only direct application of the angle addition formula sin(A + 180°) = -sin(A), which is a standard result. Students need to apply this twice (for n=1 and n=2), making it a straightforward exercise in trigonometric identities with minimal problem-solving required.
Spec1.04e Sequences: nth term and recurrence relations1.05a Sine, cosine, tangent: definitions for all arguments

4 The \(n\)th term, \(t _ { n }\), of a sequence is given by $$t _ { n } = \sin ( \theta + 180 n ) ^ { \circ }$$ Express \(t _ { 1 }\) and \(t _ { 2 }\) in terms of \(\sin \theta ^ { \circ }\).

Question 4:
AnswerMarks Guidance
\(t_1 = -\sin\theta\)B1 www
\(t_2 = \sin\theta\)B1 www; e.g. \(\sin(\theta + 360) = \sin\theta + \sin 360 = \sin\theta\) B0
## Question 4:
| $t_1 = -\sin\theta$ | B1 | www |
| $t_2 = \sin\theta$ | B1 | www; e.g. $\sin(\theta + 360) = \sin\theta + \sin 360 = \sin\theta$ **B0** |
4 The $n$th term, $t _ { n }$, of a sequence is given by

$$t _ { n } = \sin ( \theta + 180 n ) ^ { \circ }$$

Express $t _ { 1 }$ and $t _ { 2 }$ in terms of $\sin \theta ^ { \circ }$.

\hfill \mbox{\textit{OCR MEI C2  Q4 [2]}}