Compute $\sin 5^\circ + \sin 10^\circ + \sin 15^\circ + \cdots + \sin 360^\circ$
sin 5° + sin 10° + sin 15° + .......... + sin 360°
Note that we can write
(sin 5° + sin 355° ) + ( sin 10 ° + sin 350°) + ( sin 15° + sin 345°) + ....... + ( sin 175° + sin 185°) +.
(sin 180° ) + (sin 360°) =
0 + 0 + 0 + .........+ 0 + 0 + 0 =
0
