Teaching UP PGT Mock Test Series 2024 Mathematics Complex Numbers De Moivre's Theorem

The real part of \( \frac{(\cos a + i \sin a)^6}{(\sin b + i \cos b)^8} \) is:

1
\(\sin(6a - 8b)\)
2
\(\cos(6a - 8b)\)
3
\(\sin(6a + 8b)\)
4
\(\cos(6a + 8b)\)
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