Simplify sin(a+b)

Problem

sin(a+b)

Solution

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

2. Apply the formula for the sine addition identity, which states that the sine of the sum of two angles is equal to the sine of the first angle times the cosine of the second angle, plus the cosine of the first angle times the sine of the second angle.

3. Write the expanded expression using the variables a and b

Final Answer

sin(a+b)=sin(a)*cos(b)+cos(a)*sin(b)

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