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Finding Arguments Of Products And Quotients

 Fill in the blank :

If arg(z1) = π/2 and arg(z2) = π/4 , then arg (z1 z2)=___________.

  Is the sentence true or false?

If arg arg(z1) = π/2, arg arg(z2) = π/4 and arg (z3) = π/4

then arg (z1 z2 z3)= π.

 Fill in the blank :

arg (z1/ z2)=___________.

 Fill in the blank :

arg (z1 z2)=___________.

  Is the sentence true or false?

If arg(z1) = π/2 and arg(z2) = π/2 ,then arg (z1 z2) = π.

  Fill in the blank :

If arg(z1) = π/3,and arg arg(z2) = π/4 and arg (z3) = π/6

then arg (z1 z2 /z3)= .

  Is the sentence true or false?

If arg(z1) = π/3 and arg(z2) = π/2 then arg (z1/ z2) = π/2.

Fill in the blank :

If arg(z1) = π/3 and arg(z2) = π/6, then arg (z1/ z2)=___________.

  Is the sentence true or false?

If arg(z1) = 2π and arg(z2) = π/2 then arg (z1/ z2) = 3π/2.

 Is the sentence true or false?

If arg(z1) = π/4 and arg(z2) = π/4 then arg (z1 z2) = π/2.