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Answer:
sin(2A) = 0.6
Step-by-step explanation:
A couple of trig identities are involved:
sin(α) = √(1 -cos(α)²)
sin(2α) = 2sin(α)cos(α)
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First, we need to find sin(A):

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<em>Alternate solution</em>
Your calculator can also find this for you:
sin(2A) = sin(2·arccos(1/√10)) = 0.6