Maharashtra State BoardHSC Arts 11th
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Factorization Formulae - Formulae for Conversion of Sum Or Difference into Product

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For any angles C and D

1. sin C + sin D = 2 sin`((C + D)/2) cos ((C-D)/2)`

2. sin C - sin D = 2 cos`((C + D)/2) sin ((C -D)/2)`

3. cos C + cos D = 2 cos`((C + D)/2) cos ((C -D)/2)`

4. cos C -cos D = -2 sin`((C + D)/2) sin ((C -D)/2)`
                         = `2 sin((C + D)/2) sin((D -C)/2)`

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