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Why does sin(2x) = 2sin(x)cos(x)

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How to derive sin(2x) = 2sin(x)cos(x) using the angle addition formula for sine.
sin(x+y) = sin(x)cos(y) + cos(x)sin(y)
Music by Adrian von Ziegler
sin(x+y) = sin(x)cos(y) + cos(x)sin(y)
Music by Adrian von Ziegler
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