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The sum of the series underset(n+1)overs...

The sum of the series `underset(n+1)overset(oo)sumsin((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))`

Text Solution

Verified by Experts

The correct Answer is:
C
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