SOLUTION: Please help me on the following question: Find the exact value of sin(-10π/3)

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Question 190623: Please help me on the following question:
Find the exact value of sin(-10π/3)

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Here's the unit circle for reference:





Start with the given expression.


Use the identity


Take note that


Break up to get


Use the identity to expand


Take the sine of to get 0. Take the cosine of to get 1 (use the unit circle).


Multiply


Simplify



Take note that



Break up to get


Use the identity to expand


Take the sine of to get 0. Take the cosine of to get -1 (use the unit circle).


Multiply


Simplify


Evaluate the sine of to get (use the unit circle).



So




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