For `z= sqrt3-i`, find the principal, value arg(z)

If arg(z_(1))=(2pi)/3 and arg(z_(2))=pi/2 , then find the principal value of arg(z_(1)z_(2)) and also find the quardrant of z_(1)z_(2) .

If z=-1 then principal value of arg(z^((2)/(3))) is equal to

If arg (z_(1))=(17pi)/18 and arg (z_(2))=(7pi)/18, find the principal argument of z_(1)z_(2) and (z_(1)//z_(2)).

If arg(z_(1))=170^(@) andarg (z_(2))=70^(@), then find the principal argument of z_(1)z_(2)

Findthe principal value of the arguments of z_(1)=2+2i,z_(2)=-3+3i,z^(3)=-4-4iand z_(4)=5-5i,where i=sqrt(-1).

If z = (-4 +2 sqrt3i)/(5 +sqrt3i) , then the value of arg(z) is

If z ,lies on the circle |z-2i|=2sqrt(2), then the value of arg((z-2)/(z+2)) is the equal to