Simplify cos(a-b)

Problem

cos(a−b)

Solution

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

2. Apply the formula for cos(α−β) which states that the cosine of the difference is equal to the product of the cosines plus the product of the sines.

3. Substitute the variables a and b into the identity cos(α−β)=cos(α)*cos(β)+sin(α)*sin(β)

Final Answer

cos(a−b)=cos(a)*cos(b)+sin(a)*sin(b)

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