Write the value of sin10+sin20+sin30+....+sin360., Mathematics

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sin10+sin20+sin30+....+sin360=0

sin10+sin20+sin30+sin40+...sin180+sin(360-170)+......+sin(360-40)+sin(360-30)+sin(360-20)+sin360-10)+sin360

sin360-x=-sinx

hence all terms cancel and

sin10+sin20+sin30+....+sin360=0


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