The value of sin⁡10∘+sin⁡20∘+sin⁡30∘+…+sin⁡360∘, is

We have, sin⁡(π+θ)=−sin⁡θ∴ sin⁡190∘=−sin⁡10∘,sin⁡200∘=−sin⁡20∘,sin⁡210∘=−sin⁡30∘,sin⁡360∘=sin⁡180∘=0Thus, all the terms in the given series cancel with each other. Consequently, the sum is zero.