Question

$arctg(- sqrt{3}) +sin(arctg frac{ sqrt{2} }{3})$

Answer 1

-π/3+√2/3:√(1+2/9)=-π/3+√2/3*3/√11=-π/3+√22/11

Answer 2

$arctg(- sqrt{3}) +sin(arctg frac{ sqrt{2} }{3})=-arctg( sqrt{3}) +sin(arcsin frac{frac{ sqrt{2} }{3}}{ sqrt{1+(frac{ sqrt{2} }{3})^2} })= \ = - frac{pi}{3} + sin(arcsin frac{ sqrt{2} }{ sqrt{11} })=- frac{pi}{3} + frac{ sqrt{22} }{11}$