
sich weiten
to widen
To become wider, larger, or more spacious. This often refers to openings, vessels, items of clothing, or pupils.
Seine Pupillen weiteten sich vor Schreck.
His pupils widened in fright.
to widen / broaden
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to widen
To become wider, larger, or more spacious. This often refers to openings, vessels, items of clothing, or pupils.
Seine Pupillen weiteten sich vor Schreck.
His pupils widened in fright.

to widen
To actively make something wider or more spacious, for example by stretching it.
Der Schuster kann die zu engen Schuhe etwas weiten.
The shoemaker can widen the shoes that are too tight a little.

to broaden one's view
To broaden one's horizons; to get to know new perspectives or gain new knowledge.
Ein Auslandssemester kann den Blick für andere Kulturen weiten.
A semester abroad can broaden your view of other cultures.
The verb 'weiten' (to widen) is derived from the adjective 'weit' (wide, spacious). It describes the process of becoming wide or actively making something wide.
Durch das viele Tragen haben sich die Schuhe etwas geweitet.
The shoes have widened a little from being worn so much.
This verb is often used reflexively ('sich weiten' — to widen) when something becomes wider on its own. But it can also be used transitively with an accusative object when someone actively makes something wider.
Bei Dunkelheit weiten sich die Pupillen automatisch.
In darkness, the pupils widen automatically.
The reflexive form 'sich weiten' (to widen) is often used in biological or medical contexts, for example with pupils or blood vessels. It also describes how a landscape or a space opens up.
Als sie aus dem Tunnel fuhr, weitete sich das Tal vor ihr.
As she drove out of the tunnel, the valley widened before her.
In the transitive form, 'weiten' (to widen) is often used in connection with clothing or shoes that are too tight. Typical objects are trousers, rings, or shoes.
Ich muss dieses Hemd am Kragen etwas weiten lassen.
I need to have this shirt widened a little at the collar.
The phrase 'den Blick weiten' (to broaden one's view) is a fixed expression. It is used metaphorically and means to broaden one's horizons or become more open to new things.
Reisen hilft dabei, den eigenen Blick zu weiten.
Traveling helps broaden your own view.
to expand
Erweitern can broaden one’s horizons or perspective through new content and experiences. In this meaning, Weiten is especially idiomatic with “den Blick” and emphasizes opening oneself up to new perspectives. Both words can work with new experiences, but “den Blick weiten” is the fixed expression.

Durch Reisen weitet Anna ihren Blick für andere Lebensweisen.
Traveling broadens Anna’s view of other ways of life.
Durch Reisen erweitert Anna ihren Horizont.
Traveling broadens Anna’s horizons.