Simplify sin(a-b)

Problem

sin(a−b)

Solution

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

2. Apply the formula for sin(x−y) which states that the sine of the difference 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. Substitute the variables a and b into the identity sin(x−y)=sin(x)*cos(y)−cos(x)*sin(y)

Final Answer

sin(a−b)=sin(a)*cos(b)−cos(a)*sin(b)

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