Q. 94.8( 6 Votes )

Write the value of sin 10° + sin 20° + sin 30° + ... + sin 360°.

Answer :

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.


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