Sin(200 arcsin (1/2)) tg(2009 arcsin -/2

Question

Sin(200 arcsin (1/2))
tg(2009 arcsin -/2

Answer 1

Sin(200arcsin(1/2))=sin(200*π/6)=sin(33 1/3π)=sin(π+π/3)=-sinπ/3=-√3/2

tg(2009arcsin(-√3/2)=tg(2009*4π/3)=tg(2679π-π/3)=tg(-π/3)=-tg(π/3)=-√3