Write the value of sin 10° + sin 20° + sin 30° + ... + sin 360°.
We know sin(180+θ ) = -sin θ
Also, sin(360-θ ) = -sin θ
Given all angles are complementary in nature.
sin350 = sin(360-10) = -sin10°
so finally each of them cancel each other and finally we get
the sum equal to 0.