If \[{{\left( \frac{1+\cos \theta +i\sin \theta }{i+\sin \theta +i\cos \theta } \right)}^{4}}=\cos n\theta +i\sin n\theta \], then \[n\] is equal to [EAMCET 1986]

If \[{{\left( \frac{1+\cos \theta +i\sin \theta }{i+\sin \theta +i\c

1.	If \[{{\left( \frac{1+\cos \theta +i\sin \theta }{i+\sin \theta +i\cos \theta } \right)}^{4}}=\cos n\theta +i\sin n\theta \], then \[n\] is equal to [EAMCET 1986]
A.	1
B.	2
C.	3
D.	4
Answer» E.

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If \[{{\left( \frac{1+\cos \theta +i\sin \theta }{i+\sin \theta +i\cos \theta } \right)}^{4}}=\cos n\theta +i\sin n\theta \], then \[n\] is equal to [EAMCET 1986]

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