Simplify 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 the sine of the difference between two angles x and y is equal to the sine of the first angle times the cosine of the second angle, minus the cosine of the first angle times the sine of the second angle.

3. Write the expanded expression using the variables provided in the task.

Final Answer

sin(x−y)=sin(x)*cos(y)−cos(x)*sin(y)

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