Choose the correct options for the following questions.
If z=(0,-y) and z lies on OY' where y>0, then Arg z=
Difficulty: Easy
A:
$\pi$
B:
$-\pi$
C:
$\frac{\pi}{2}$
D:
$-\frac{\pi}{2}$
$x,y>0, if z=(x,-y)$ then Arg z =
Difficulty: Hard
A:
$-\tan^{-1}\frac{y}{x}$
B:
$\tan^{-1}\frac{y}{x}$
C:
$\pi -\tan^{-1}\frac{y}{x}$
D:
$\pi +\tan^{-1}\frac{y}{x}$
$\forall x,y>0, if z=(x,y)$ then Arg z =
Difficulty: Easy
A:
$\pi +\tan^{-1}\frac{y}{x}$
B:
$\pi -\tan^{-1}\frac{y}{x}$
C:
$\tan^{-1}\frac{y}{x}$
D:
$\tan^{-1}\frac{-y}{x}$
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