2009 AJC P1 Q9 [Modified]
2009 AJC P1 Q9 [Modified]
Prelims
Show that \(z=\frac{5\left( {{e}^{\mathrm{i}\frac{2}{5}\pi }}-1 \right)}{{{e}^{\mathrm{i}\frac{2}{5}\pi }}+1}\) can be expressed as \(5\mathrm{i}\tan \frac{\pi }{5}\) .
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Answer:\( 5i\tan\frac{\pi}{5} \)
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