$$\sin ( 2 \tan ^ { - 1 } \frac { 2 } { 3 } ) + \cos ( \tan ^ { - 1 } \sqrt { 3 } )$$
$0.97926185055930824$
$$0.14125403862471314 + 0.8380078119345951$$
$$0.97926185055930824$$
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$\frac{12240773131991353}{2 ^ {14} \cdot 5 ^ {17}} = 0.9792618505593081$
