Trigonometry Identities: sin(x +/- y) = sin(x)cos(y) +/- cos(x)sin(y)

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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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Trigonometry Identities

Trig Identities - Sub add sin(x+y) Resized AI.jpg

Addition and Subtraction Formulas

Addition: sin(x + y) = sin(x)cos(y) + cos(x)sin(y)

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Subtraction: sin(x - y) = sin(x)cos(y) - cos(x)sin(y)

image.png

image.png

Sine and Cosine Addition / Subtraction Identities

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