muslimisch
Muslim
Concerning Islam or Muslims; belonging to Islam.
Der Ramadan ist der muslimische Fastenmonat.
Ramadan is the Muslim month of fasting.

Muslim
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Muslim
Concerning Islam or Muslims; belonging to Islam.
Der Ramadan ist der muslimische Fastenmonat.
Ramadan is the Muslim month of fasting.

The adjective 'muslimisch' (Muslim) is derived directly from the noun 'der Muslim' (male Muslim) or 'die Muslimin' (female Muslim). The ending '-isch' makes it an adjective.
Sie wuchs in einer muslimischen Familie auf.
She grew up in a Muslim family.
The word is often used to describe cultural or religious aspects. Typical combinations are 'muslimische Feiertage' (Muslim holidays), 'muslimische Traditionen' (Muslim traditions), or 'ein muslimisches Land' (a Muslim country).
Das Zuckerfest ist einer der wichtigsten muslimischen Feiertage.
Eid al-Fitr is one of the most important Muslim holidays.
'Muslimisch' (Muslim) can refer both to people and groups, as in 'muslimische Bürger' (Muslim citizens), and to abstract concepts or things connected with Islam, such as 'die muslimische Welt' (the Muslim world) or 'muslimische Architektur' (Muslim architecture).
Die Ausstellung zeigt Beispiele traditioneller muslimischer Kunst.
The exhibition shows examples of traditional Muslim art.
Arabic
'arabisch' and 'muslimisch' are often confused because there are many Muslims in many Arab countries. But 'arabisch' refers to language, origin, culture, or the Arab world. 'muslimisch' refers to Islam or to people who belong to Islam. That is not the same thing: there are Arab Christians and Muslim people from non-Arab countries. When you are talking about language or regional culture, 'arabisch' fits. When it is about religion, 'muslimisch' fits.

Bei der Arbeit nimmt die muslimische Familie Rücksicht auf die Gebetszeiten.
At work, the Muslim family takes prayer times into account.
Auf dem Markt hörte ich ein arabisches Gespräch zwischen zwei Händlern.
At the market, I heard an Arabic conversation between two traders.