Which expression corresponds to the cosine of the difference formula?

The cosine of the difference formula is given by the equation ( \cos(A - B) = \cos A \cos B + \sin A \sin B ). In the context of the options provided, the correct expression that corresponds to this formula is found in the choice which states ( \cos A \cos B - \sin A \sin B ).

This formula states that to find the cosine of the difference between two angles ( A ) and ( B ), you should multiply the cosines of the angles together and then subtract the product of the sines of the angles. This reflects the relationship between cosine and the angles in a unit circle, where the cosine function captures the horizontal coordinates based on the angle measure.

In summary, the selection that states ( \cos A \cos B - \sin A \sin B ) accurately represents the structure of the cosine difference formula, confirming that it is representative of the relation when subtracting one angle from another in trigonometric contexts.