sin 10+ sin 20................
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sin 10 + sin20 +.....+ sin350+ sin360
= sin(360-350) + sin(360-340) + ..... sin (360-190) +sin180 + sin190 +... sin350+sin360
= -sin350-sin340-....-sin190+sin180+sin190+...+ sin350 +sin360
= sin180 + sin360
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