Sine Sine Cosine Cosine, I got it!

Geometry Level 2

If xx and yy are acute angles such that

sinxsiny=12,cosxcosy=32, \frac {\sin x}{\sin y } = \frac {1}{2}, \quad \frac {\cos x}{\cos y } = \frac 3 2 ,

what is tan2(x+y)? \tan^2 (x+y)?

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