1
$\begingroup$

$\tan z = \frac{\sin(z)}{\cos(z)}, \cos(z), \sin (z) \ \forall z \in \mathbb{C}$

Injectivity means: $f(x)=f(y) \Rightarrow x=y$

so i think all intervals of the form $[0,u< 2\pi]$ are good. And I also think this is wrong.

Dose somebody see how to find the correct regions.

Tell me. Please

V

  • 1
    Hint: $\tan(z) = \tan(w)$ if and only if $\tan(z-w) = 0$. And where does $\tan$ take the value 0?2011-11-01

0 Answers 0