Question

Вычислите- во вложении

Answer 1

$Sin\Big(arcSin(-\dfrac{\sqrt{2} }{2})+arctg(-1)\Big)=Sin\Big(-\dfrac{\pi }{4}-\dfrac{\pi }{4} \Big)=Sin\Big(-\dfrac{\pi }{2}\Big)=\\\\=-Sin\dfrac{\pi }{2}=\boxed{-1}$