Derive related approximation formula

A question is this type if and only if it asks to derive one approximation formula from another given formula, typically involving transformations like cos x from sin x.

1 questions · Standard +0.8

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OCR MEI Paper 3 2022 June Q12
5 marks Standard +0.8
12
  1. Show that \(\cos x = \sin \left( x + \frac { \pi } { 2 } \right)\).
  2. Hence show that \(\sin x \approx \frac { 16 x ( \pi - x ) } { 5 \pi ^ { 2 } - 4 x ( \pi - x ) }\) gives the approximation \(\cos x \approx \frac { \pi ^ { 2 } - 4 x ^ { 2 } } { \pi ^ { 2 } + x ^ { 2 } }\), as stated in line 31. \section*{END OF QUESTION PAPER} }{www.ocr.org.uk}) after the live examination series. If OCR has unwittingly failed to correctly acknowledge or clear any third-party content in this assessment material, OCR will be happy to correct its mistake at the earliest possible opportunity.
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