Product-to-Sum and Sum-to-Product Formulas

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8 Terms

1
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sin(A)·sin(B)

½[cos(A − B) − cos(A + B)]

2
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cos(A)·cos(B)

½[cos(A − B) + cos(A + B)]

3
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sin(A)·cos(B)

½[sin(A + B) + sin(A − B)]

4
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cos(A)·sin(B)

½[sin(A + B) − sin(A − B)]

5
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sin(A) + sin(B)

2·sin[(A + B)/2]·cos[(A − B)/2]

6
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sin(A) − sin(B)

2·cos[(A + B)/2]·sin[(A − B)/2]

7
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cos(A) + cos(B)

2·cos[(A + B)/2]·cos[(A − B)/2]

8
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cos(A) − cos(B)

−2·sin[(A + B)/2]·sin[(A − B)/2]