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Let f(x) = sin x & g(x) = √((1 - cos2x)/2) is f = g?

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Let f(x) = sin x & g(x) = √((1 - cos2x)/2) is f = g?

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Given f(x) = sin x and

g(x) = √((1 - cos2x)/2) = √sin2x = |sinx|

Clearly, Rf = [–1, 1] & Rg = [0, 1]

Since Rf ≠ Rg, so f ≠ g

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