\[{{\left( \frac{1+\sin \theta +i\,\cos \theta }{1+\sin \theta -i\,\cos \theta } \right)}^{n}}\]= [Kerala (Engg.) 2002]

\[\cos \left( \frac{n\pi }{2}+n\theta \right)+i\,\sin \left( \frac{n\pi }{2}+n\theta \right)\]

\[\cos \left( \frac{n\pi }{2}-n\theta \right)+i\,\sin \left( \frac{n\pi }{2}-n\theta \right)\]

\[\sin \left( \frac{n\pi }{2}-n\theta \right)+i\,\cos \left( \frac{n\pi }{2}-n\theta \right)\]

\[\cos \,n\left( \frac{\pi }{2}+2\theta \right)+i\,\sin \,n\left( \frac{\pi }{2}+2\theta \right)\]

\[{{\left( \frac{1+\sin \theta +i\,\cos \theta }{1+\sin \theta -i\,\co

1.	\[{{\left( \frac{1+\sin \theta +i\,\cos \theta }{1+\sin \theta -i\,\cos \theta } \right)}^{n}}\]= [Kerala (Engg.) 2002]
A.	\[\cos \left( \frac{n\pi }{2}-n\theta \right)+i\,\sin \left( \frac{n\pi }{2}-n\theta \right)\]
B.	\[\cos \left( \frac{n\pi }{2}+n\theta \right)+i\,\sin \left( \frac{n\pi }{2}+n\theta \right)\]
C.	\[\sin \left( \frac{n\pi }{2}-n\theta \right)+i\,\cos \left( \frac{n\pi }{2}-n\theta \right)\]
D.	\[\cos \,n\left( \frac{\pi }{2}+2\theta \right)+i\,\sin \,n\left( \frac{\pi }{2}+2\theta \right)\]
Answer» B. \[\cos \left( \frac{n\pi }{2}+n\theta \right)+i\,\sin \left( \frac{n\pi }{2}+n\theta \right)\]

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\[{{\left( \frac{1+\sin \theta +i\,\cos \theta }{1+\sin \theta -i\,\cos \theta } \right)}^{n}}\]= [Kerala (Engg.) 2002]

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