If \[(\cos \theta +i\sin \theta )(\cos 2\theta +i\sin 2\theta )........\] \[(\cos n\theta +i\sin n\theta )=1\], then the value of \[\theta \] is[Karnataka CET 1992; Kurukshetra CEE 2002]

If \[(\cos \theta +i\sin \theta )(\cos 2\theta +i\sin 2\theta ).......

1.	If \[(\cos \theta +i\sin \theta )(\cos 2\theta +i\sin 2\theta )........\] \[(\cos n\theta +i\sin n\theta )=1\], then the value of \[\theta \] is[Karnataka CET 1992; Kurukshetra CEE 2002]
A.	\[4m\pi \]
B.	\[\frac{2m\pi }{n(n+1)}\]
C.	\[\frac{4m\pi }{n(n+1)}\]
D.	\[\frac{m\pi }{n(n+1)}\]
Answer» D. \[\frac{m\pi }{n(n+1)}\]

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If \[(\cos \theta +i\sin \theta )(\cos 2\theta +i\sin 2\theta )........\] \[(\cos n\theta +i\sin n\theta )=1\], then the value of \[\theta \] is[Karnataka CET 1992; Kurukshetra CEE 2002]

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