The sum of the series \sum^{\infty}_{n=1} sin(\frac{n!\pi}{720}) is

Correct Answer is : sin (π6) + sin (π30) + sin (π120) + sin (π360) + sin (π720)

sin (\pi/{180}) + sin (\pi/{360}) + sin (\pi/{540})

sin (\pi/{6}) + sin (\pi/{30}) + sin (\pi/{120}) + sin (\pi/{360})

sin (\pi/{6}) + sin (\pi/{30}) + sin (\pi/{120}) + sin (\pi/{360}) + sin (\pi/{720})

sin (\pi/{180}) + sin (\pi/{360})

WBJEE 2014 Maths Solved Paper

Question : 26 of 80

Marks: +1, -0

The sum of the series

∞

n=1

sin(

n!π

720

) is

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