Show that for all $x\in\mathbb R$ there is $k\in\mathbb Z$ such that $$\arcsin(\sin(x))=(-1)^kx+k\pi$$.
and
$$\arccos(\cos(x))=(-1)^kx+k\pi.$$
Induction is not valid right, domain it´s not $\mathbb N$.
2026-04-02 16:16:31.1775146591
Show that for all $x\in\mathbb R$ there is $k\in\mathbb Z$ such that $\arcsin(\sin(x))=(-1)^kx+k\pi$. and $\arccos(\cos(x))=(-1)^kx+k\pi.$
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