JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

The value of

\frac{\left(\sin \frac{\pi}{8}+i \cos \frac{\pi}{8}\right)^8}{\left(\sin \frac{\pi}{8}-i \cos \frac{\pi}{8}\right)^8}

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Correct option: C

Option C (1) is correct because after simplification using Euler's formula, the expression evaluates to 1.

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