Solveeit Logo
Login

Question

Question: The value of \(\sin 10{^\circ} + \sin 20{^\circ} + \sin 30{^\circ} + ... +\) \(\sin 360{^\circ}\) is...

The value of sin⁡10∘+sin⁡20∘+sin⁡30∘+...+\sin 10{^\circ} + \sin 20{^\circ} + \sin 30{^\circ} + ... + sin⁡360∘\sin 360{^\circ} is

A

1

B

0

C

– 1

D

None of these

Answer

0

Explanation

Solution

Since sin⁡190∘=−sin⁡10∘, 6musin⁡200∘=−sin⁡20∘,\sin 190{^\circ} = - \sin 10{^\circ},\mspace{6mu}\sin 200{^\circ} = - \sin 20{^\circ},

sin⁡210∘=−sin⁡30∘, 6musin⁡360∘=sin⁡180∘=0\sin 210{^\circ} = - \sin 30{^\circ},\mspace{6mu}\sin 360{^\circ} = \sin 180{^\circ} = 0etc.