As it is well known: $$|\sin(x)|\leq |x| \forall x \in \mathbb{R}.$$
Now, if we have a complex number $z$; can I preserve the same inequality
$$|\sin(z)|\leq |z|\quad \forall z \in \mathbb{C}?$$
As it is well known: $$|\sin(x)|\leq |x| \forall x \in \mathbb{R}.$$
Now, if we have a complex number $z$; can I preserve the same inequality
$$|\sin(z)|\leq |z|\quad \forall z \in \mathbb{C}?$$