1 + cot^2 (x) = [4 cos^2 (x) / (sin^2 (2x))]
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\(1 + cot^2 (x) =\frac{ 4 cos^2 (x)} { sin^2 (2x)}\)
\(1 + cot^2 (x) =\frac{ 4 cos^2 (x)} { 4sin^2(x)cos^2(x)} \)
\(1 + cot^2 (x) =\frac{1}{sin^2(x)}\\ sin^2(x)=\frac{1}{1+cot^2(x)}\) True!
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