OCR MEI C2 2011 June — Question 10 2 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2011
SessionJune
Marks2
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicTrigonometric equations in context
TypePeriodicity and symmetry of trig functions
DifficultyEasy -1.2 This question requires only direct application of the angle addition formula sin(A+B) and knowledge that sin(180°+x) = -sin(x). It's a straightforward two-part calculation with no problem-solving or insight required, making it easier than average for A-level.
Spec1.05l Double angle formulae: and compound angle formulae

10 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 \(\sin \theta ^ { \circ }\).

AnswerMarks Guidance
\(t_1 = - \sin \theta\)B1 www
\(t_2 = \sin \theta\)B1 www
$t_1 = - \sin \theta$ | B1 | www
$t_2 = \sin \theta$ | B1 | www | e.g. $\sin(\theta + 360) = \sin \theta + \sin 360 = \sin\theta$ B0
10 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 2011 Q10 [2]}}