Questions & Answers about Luotan tähän kurssiin.
Because luotan is the 1st person singular present tense form of the verb luottaa (to trust).
- minä luotan = I trust
- sinä luotat = you (sg) trust
- hän luottaa = he/she trusts
So the -n is the normal personal ending for I in the present tense.
The dictionary form is luottaa. In many Finnish verbs, consonant gradation changes the “strong” grade in the dictionary form to a “weak” grade in some conjugated forms.
Here: luottaa → luotan ( tt → t )
This is a common pattern (strong grade in the infinitive, weaker grade in some present forms).