If sin(x) = 3/5 and x is an acute angle, what is the value of the double-angle expression sin(2x)?
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24/25
Using the double-angle identity sin(2x) = 2sin(x)cos(x). If sin(x) = 3/5, then cos(x) = 4/5 (via the 3-4-5 triangle), so 2(3/5)(4/5) = 24/25.
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- What is the value of sin(2x) if x is an acute angle and sin(x) is 3/5?