SOLUTION: Simplify Sin(30+x) + Sin(30-x)

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Question 554894: Simplify Sin(30+x) + Sin(30-x)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Sin(30+x) + Sin(30-x)

Sin(30)cos(x)+cos(30)sin(x) + Sin(30)cos(x)-cos(30)sin(x)

(1/2)cos(x)+(sqrt(3)/2)sin(x) + (1/2)cos(x)-(sqrt(3)/2)sin(x)

cos(x)


So sin(30+x) + sin(30-x) = cos(x) for all values of x.


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