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Rewrite sin(x+pi)+sin(x-pi) as a product.

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2 Answers

Method 1.
sin(x+pi)+sin(x-pi)
= 2sin x cos pi, after expanding and collecting like terms
= -2sin x
 
Method 2.
sin(x+pi)+sin(x-pi)
= -sin x - sin x, using reference angle
= -2sin x