MCQ
$\frac{{{(\cos \alpha +i\,\sin \alpha )}^{4}}}{{{(\sin \beta +i\,\cos \beta )}^{5}}}=$ [RPET 2002]
  • A
    $\cos (4\alpha +5\beta )+i\,\sin (4\alpha +5\beta )$
  • B
    $\cos (4\alpha +5\beta )-i\,\sin (4\alpha +5\beta )$
  • $\sin (4\alpha +5\beta )-i\cos (4\alpha +5\beta )$
  • D
    None of these

Answer

Correct option: C.
$\sin (4\alpha +5\beta )-i\cos (4\alpha +5\beta )$
C

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