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For a complex number Z,|Z|=1 and "arg "(...

For a complex number `Z,|Z|=1 and "arg "(Z)=theta`. If `(Z)(Z^(2))(Z^(3))…(Z^(n))=1`, then the value of `theta` is

A

`(4mpi)/(n(n+1)), m in I`

B

`(2mpi)/(n(n+1)), m in I`

C

`(mpi)/(n(n+1)), m in I`

D

None of these

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A
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