
anbrechen
to dawn
The beginning of a new period of time, especially a day, a night, or a new era.
Als der Morgen anbrach, machten sich die Wanderer auf den Weg.
When morning dawned, the hikers set off.
to dawn / to open / to crack
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to dawn
The beginning of a new period of time, especially a day, a night, or a new era.
Als der Morgen anbrach, machten sich die Wanderer auf den Weg.
When morning dawned, the hikers set off.

to open
To open a new, unopened package of something, usually food or drinks, for the first time and use part of it.
Sollen wir für die Gäste die neue Flasche Wein anbrechen?
Should we open the new bottle of wine for the guests?

to crack
To partially break a bone or an object so that a crack forms, but it does not break all the way through.
Beim Sturz vom Fahrrad hat er sich den Arm nur angebrochen.
When he fell off his bike, he only cracked his arm.
'Anbrechen' (to dawn/to open/to crack) is a separable verb. In a main clause, the prefix 'an-' moves to the end of the sentence. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Ein neuer Tag bricht an.
A new day dawns.
Pay attention to the auxiliary verb in the perfect tense! When a period of time begins, 'sein' (to be) is used. When someone opens a package or cracks/breaks something, 'haben' (to have) is used.
Die neue Ära ist angebrochen.
The new era has dawned.
You can recognize the meaning from the subject of the sentence. If the subject is a time expression like 'der Tag' (the day) or 'die Nacht' (the night), it is about the beginning. If the subject is a person, it is about opening a package or about an injury.
Der letzte Tag des Urlaubs brach an.
The last day of vacation dawned.
When a period of time begins, 'anbrechen' (to dawn) is often used with subjects like 'der Morgen' (the morning), 'der Tag' (the day), 'die Nacht' (the night), or also figuratively with 'ein neues Zeitalter' (a new age) or 'eine neue Ära' (a new era).
Mit dieser Erfindung ist ein neues Zeitalter angebrochen.
With this invention, a new age has dawned.
When it refers to an injury, the verb is often used reflexively with the dative: 'sich etwas anbrechen' (to crack/fracture something). The injured person is the subject, and the body part is in the accusative.
Er hat sich beim Fußballspielen den Zeh angebrochen.
He cracked his toe while playing soccer.
to begin
Beginnen refers neutrally to the start of a period of time. Anbrechen is used especially with a day, night, or era in a vivid, figurative way and puts the new period itself in the foreground. Beginnen is suitable for a matter-of-fact reference to a time; anbrechen fits a vivid transition.

Über dem stillen Dorf bricht langsam ein neuer Tag an.
A new day slowly dawns over the quiet village.
Der neue Tag beginnt für die Bäckerin schon um vier Uhr.
For the baker, the new day begins as early as four o’clock.