\[\frac{{{(\cos \alpha +i\,\sin \alpha )}^{4}}}{{{(\sin \beta +i\,\cos \beta )}^{5}}}=\] [RPET 2002]

\[\cos (4\alpha +5\beta )+i\,\sin (4\alpha +5\beta )\]

\[\cos (4\alpha +5\beta )-i\,\sin (4\alpha +5\beta )\]

\[\sin (4\alpha +5\beta )-i\cos (4\alpha +5\beta )\]

\[\frac{{{(\cos \alpha +i\,\sin \alpha )}^{4}}}{{{(\sin \beta +i\,\cos

1.	\[\frac{{{(\cos \alpha +i\,\sin \alpha )}^{4}}}{{{(\sin \beta +i\,\cos \beta )}^{5}}}=\] [RPET 2002]
A.	\[\cos (4\alpha +5\beta )+i\,\sin (4\alpha +5\beta )\]
B.	\[\cos (4\alpha +5\beta )-i\,\sin (4\alpha +5\beta )\]
C.	\[\sin (4\alpha +5\beta )-i\cos (4\alpha +5\beta )\]
D.	None of these
Answer» D. None of these

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\[\frac{{{(\cos \alpha +i\,\sin \alpha )}^{4}}}{{{(\sin \beta +i\,\cos \beta )}^{5}}}=\] [RPET 2002]

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