The smallest positive integral value of ' n ' such that [\binom{1+ \sin \frac{\pi}{8}+i \cos \frac{\pi}{8}}/{1+ \sin \frac{\pi}{8}-i \cos \frac{\pi}{8}}] ^n is purely imaginary is, {\n}=

KCET 2009 Math Solved Paper

Question : 24 of 61

Marks: +1, -0

The smallest positive integral value of ' n ' such that [‌

1+sin‌

+i‌cos‌

1+sin‌‌

−i‌cos‌

]n is purely imaginary is, n=

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