Simplify sin(u-v)

Problem

sin(u−v)

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 u and v into the identity to obtain the expanded form.

Final Answer

sin(u−v)=sin(u)*cos(v)−cos(u)*sin(v)

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