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9 March, 13:09

Derive these identities using the addition or subtraction formulas for sine or cosine:

a. sin a sin b = 1 / 2 (cos (a - b) - cos (a + b))

b. sin a cos b = 1 / 2 (sin (a + b) + sin (a - b))

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  1. 9 March, 13:20
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    Step-by-step explanation:

    cos (a-b) - cos (a+b) = 2 (sina x sinb)

    using formulae of cos (a-b) & cos (a+b)

    cos a cos b + sina sinb - cosa cosb + sina sinb=2 sina sinb

    2 sina sinb = 2 sina sinb

    proved!
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