sage: t

tan(1/2*arctan(12/5))

sage: t.trig_simplify()

sin(1/2*arctan(12/5))/cos(1/2*arctan(12/5))

sage: n(t)

0.666666666666667


But trig_simplify  couldn't get 2/3.  Maybe there

is a fancier command that will do it?

  

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