Expand the Trigonometric Expression sin(x-y)

Problem

sin(x−y)

Solution

1. Identify the appropriate trigonometric identity for the sine of a difference of two angles.

2. Apply the formula for the sine difference identity, which states that sin(α−β)=sin(α)*cos(β)−cos(α)*sin(β)

3. Substitute the variables x for α and y for β into the identity.

Final Answer

sin(x−y)=sin(x)*cos(y)−cos(x)*sin(y)

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