In this video I use the cos(x - y) identity which I proved in my earlier video to derive a very useful trigonometric identity for sin(x + y) and sin(x -y).
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Addition and Subtraction Formulas
Addition: sin(x + y) = sin(x)cos(y) + cos(x)sin(y)
Subtraction: sin(x - y) = sin(x)cos(y) - cos(x)sin(y)
Sine and Cosine Addition / Subtraction Identities