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The sum of the series sum(n=1)^(oo) sin...

The sum of the series `sum_(n=1)^(oo) sin((n !pi)/(720))` is

A

`sin((pi)/(180))+sin((pi)/(360))+sin((pi)/(540))`

B

`sin((pi)/(6))+sin((pi)/(30))+sin((pi)/(120))+sin((pi)/(360))`

C

`sin((pi)/(6)) +sin((pi)/(30)) +sin((pi)/(120)) +sin((pi)/(360)) +sin((pi)/(720))`

D

`sin((pi)/(180)) +sin((pi)/(360))`

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