\[{{\left( \frac{1+\cos \varphi +i\sin \varphi }{1+\cos \varphi -i\sin \varphi } \right)}^{n}}=\]

\[\sin n\varphi +i\cos n\varphi \]

\[\cos n\varphi -i\sin n\varphi \]

\[\cos n\varphi +i\sin n\varphi \]

\[\sin n\varphi -i\cos n\varphi \]

\[{{\left( \frac{1+\cos \varphi +i\sin \varphi }{1+\cos \varphi -i\sin

1.	\[{{\left( \frac{1+\cos \varphi +i\sin \varphi }{1+\cos \varphi -i\sin \varphi } \right)}^{n}}=\]
A.	\[\cos n\varphi -i\sin n\varphi \]
B.	\[\cos n\varphi +i\sin n\varphi \]
C.	\[\sin n\varphi +i\cos n\varphi \]
D.	\[\sin n\varphi -i\cos n\varphi \]
Answer» C. \[\sin n\varphi +i\cos n\varphi \]

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\[{{\left( \frac{1+\cos \varphi +i\sin \varphi }{1+\cos \varphi -i\sin \varphi } \right)}^{n}}=\]

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