Mastering The Trigonometric Identity: The Formula For Cos(A+B)

cos(A+B)=

cosAcosB-sinAsinB

The formula for cos(A+B) is:

cos(A+B) = cos(A)cos(B) – sin(A)sin(B)

This formula is derived from the trigonometric identity for the cosine of a sum of two angles, which states:

cos(A+B) = cos(A)cos(B) – sin(A)sin(B)

where cos(A) and cos(B) are the cosines of angles A and B, and sin(A) and sin(B) are the sines of angles A and B, respectively.

In other words, the formula tells us that the cosine of the sum of two angles is equal to the product of the cosines of the angles minus the product of the sines of the angles.

It’s important to note that this formula holds true for any two angles, A and B. However, if we know the values of A and B, we can substitute them into the formula to find the exact value of cos(A+B).

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