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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3/8/2013 7:28:28 AM sin(10+36x5)sin(37x5)/ sin5 -sin10.-sin5/sin5 sin10 eq 1 is a formula sin(a)+sin(a+b)+sin(a+2b)............sin(a+(n-1)b) = sin(a+(n-1)b/2)sin(nb/2)/ sin(b/2)

3/8/2013 7:28:28 AM

sin(10+36x5)sin(37x5)/ sin5

-sin10.-sin5/sin5

sin10

eq 1 is a formula

sin(a)+sin(a+b)+sin(a+2b)............sin(a+(n-1)b) = sin(a+(n-1)b/2)sin(nb/2)/ sin(b/2)

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