Simplify
$$\frac{\cos\left(\frac{6\pi}{13}\right) + i\sin\left(\frac{6\pi}{13}\right)}{\cos\left(\frac{2\pi}{13}\right) - i\sin\left(\frac{2\pi}{13}\right)}$$
Tick (\(\checkmark\)) one box.
[1 mark]
\(\cos\left(\frac{8\pi}{13}\right) + i\sin\left(\frac{8\pi}{13}\right)\) \(\square\)
\(\cos\left(\frac{8\pi}{13}\right) - i\sin\left(\frac{8\pi}{13}\right)\) \(\square\)
\(\cos\left(\frac{4\pi}{13}\right) + i\sin\left(\frac{4\pi}{13}\right)\) \(\square\)
\(\cos\left(\frac{4\pi}{13}\right) - i\sin\left(\frac{4\pi}{13}\right)\) \(\square\)
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Question 2:
Answer Marks
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2 Ticks correct answer
1.1b
cos +i sin
13 13
Answer Marks
Guidance
Total 1
Q Marking instructions
AO
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Question 2:
2 | Ticks correct answer | 1.1b | B1 | 8π 8π
cos +i sin
13 13
Total | 1
Q | Marking instructions | AO | Marks | Typical solution
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Simplify
$$\frac{\cos\left(\frac{6\pi}{13}\right) + i\sin\left(\frac{6\pi}{13}\right)}{\cos\left(\frac{2\pi}{13}\right) - i\sin\left(\frac{2\pi}{13}\right)}$$
Tick ($\checkmark$) one box.
[1 mark]
$\cos\left(\frac{8\pi}{13}\right) + i\sin\left(\frac{8\pi}{13}\right)$ $\square$
$\cos\left(\frac{8\pi}{13}\right) - i\sin\left(\frac{8\pi}{13}\right)$ $\square$
$\cos\left(\frac{4\pi}{13}\right) + i\sin\left(\frac{4\pi}{13}\right)$ $\square$
$\cos\left(\frac{4\pi}{13}\right) - i\sin\left(\frac{4\pi}{13}\right)$ $\square$
\hfill \mbox{\textit{AQA Further Paper 1 2022 Q2 [1]}}