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Grade 12th passTrigonometry

Sin10+sin20+sin30+sin40+....+sin360 what is the solution?

Profile image of Fathima
6 Years agoGrade 12th pass
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1 Answer

Profile image of Arun
6 Years ago

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

Hope it helps