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Step-by-step explanation:
sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
Now let A = B = x. So we get:
sin(x + x) = sin(2x) = sin(x)cos(x) + cos(x)sin(x) = 2sin(x)cos(x)
Therefore,
sin(x)cos(x) = (1/2)sin(2x)
Hope this helps!
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