[latex] frac{sin ^{2}60stopni+2cos45stopni }{5+2tg30stopni} =[/latex] Jaki jest tego wynik. Plissss,

[latex] frac{sin ^{2}(60а) +2cos(45а) }{5+2tg(30а)} = frac{(sin (60а))^2 +2cos(45а) }{5+2tg(30а)} = frac{(frac {sqrt 3}{2})^2 +2(frac {sqrt 2}{2}) }{5+2(frac {sqrt 3}{3})} =frac{frac {3}{4} +{sqrt 2} }{5+frac {2sqrt 3}{3}}=[/latex] [latex]frac{(frac {3}{4} +{sqrt 2} )cdot(5-frac {2sqrt 3}{3})}{(5+frac {2sqrt 3}{3})cdot(5-frac {2sqrt 3}{3}) }=frac{frac {15}{4} +{5sqrt 2}-frac {2sqrt 3}{4}-frac {2sqrt 3cdot sqrt2}{3} }{5^2-(frac {2sqrt3}{3})^2 }= frac{frac {45}{12} +{frac {60sqrt 2}{12}}-frac {6sqrt 3}{12}-frac {8sqrt 3cdot sqrt2}{12} }{25-(frac {4cdot 3}{9}) }= [/latex] [latex]frac {frac {45 +60sqrt 2- {6sqrt 3}-{8sqrt 6}}{12} }{25-frac {4}{3} }=frac{frac {45 +60sqrt 2- {6sqrt 3}-{8sqrt 6}}{12} }{frac {71}3 }={frac {45 +60sqrt 2- {6sqrt 3}-{8sqrt 6}}{12} }cdot frac 3{71}=[/latex] [latex]{frac {45 +60sqrt 2- {6sqrt 3}-{8sqrt 6}}{4} }cdot frac 1{71} =frac 1{284}({45 +60sqrt 2- {6sqrt 3}-{8sqrt 6}})approx 0,3516358836[/latex]