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Can you show steps on deriving the identity from the sum and difference formulas for cosine:

sin a sin b = (1 / 2)[cos(a – b) – cos(a + b)]

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RS = (1/2)(cosacosb + sinasinb - (cosacosb - sinasinb)
= (1/2)(2sinasinb)
= sinasinb
= LS

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