Complex Numbers...

$$z_0$$ is the roots of $$1+x+x^2 =0$$ and $$z=3+6iz^{81}_0 - 3z^{93}_0$$, then arg(z) is 

If $$z$$ is a complex number of unit modulus and argument $$\theta$$, then $$arg\left(\dfrac{1+z}{1+\overline{z}}\right)$$ equals 

Let $$z$$, $$w$$ be complex numbers such that $$ \overline { z } +i\overline { w } =0$$ and arg $$\left(ZW\right)= pi$$. Then, arg $$\left(z\right)$$ equals

Argument of the complex number  $$\left( \dfrac { - 1 - 3 i } { 2 + i } \right).$$

If $$z=-1$$, then principal value of arg $$\left({z}^{2/3}\right)$$ is

Arg $$\left\{ sin\dfrac { 8\pi  }{ 5 } +i\left( 1+cos\dfrac { 8\pi  }{ 5 }  \right)  \right\}$$ is equal to

The amplitude of $${ e }^{ { e }^{ -i\theta  } }$$ is equal to

If $$z=-1$$, then principal value of arg $$\left( {z}^{\dfrac{2}{3}} \right )$$ is 

The amplitude of sin $$\dfrac { \pi  }{ 5 } +i\left( 1-cos\dfrac { \pi  }{ 5 }  \right) $$ is 

$$ z _ { 0 } $$ is the roots of $$ 1 + x + x ^ { 2 } = 0 $$ and $$ z = 3 + 6 i z _ { 0 } ^ { 81 } - 3 z _ { 0 } ^ { 93 } . $$ Then $$ \arg ( z ) $$ is-