Suppose tangent of x is equal to 7 halves where 180°<x<270° What is the value of sine of 2 x ?

Use the double-angle identity sin(2x) = 2 tan(x) / (1 + tan²(x)). Substituting tan(x) = 7/2 gives (2 · 7/2) / (1 + 49/4) = 7 / (53/4) = 28/53. Thus the value is 28/53, choice B.

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