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Sin 10+sin20 +sin30+.....sin360 is equal to (A)1 (B)0(C)-1 (D)none of these

Sin 10+sin20 +sin30+.....sin360 is equal to (A)1 (B)0(C)-1 (D)none of these

Grade:11

1 Answers

Arun
25758 Points
5 years ago
sin 10 + sin 20+ sin30 +........... + sin330 + sin340 + sin 350 +sin 360
sin 10 + sin 20+ sin30 +...........  + sin(360 –30) + sin(360 –20) + sin(360 – 10)+ sin(360)
we know-
sin(360 – theta) = –sin (theta)
hence all the terms are cancelled out and sin 360 is remained
so answer will be 
0 + sin 360     (sin 360 = 0)
0 + 0
0  (answer)
hence option B is correct

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