Present Perfect Simple Past
Ich bin sehr müde gewesen. OR Ich war sehr müde. = I was very tired.
Ich habe Kopfschmerzen gehabt. OR Ich hatte Kopfschmerzen. = I had a headache.
Notice that both the simple past and present perfect forms are identical in terms of meaning. The only difference between them is that one form (present perfect tense) is exclusively used in spoken German (or other communication construed as verbal such as email, texts, or dialogue), whereas the other (simple past/preterite) is valid for the spoken and written past forms.
The simple past is formed in one of 3 ways: for regular, mixed, and irregular verbs.
Regular verbs like ‘spielen,’ ‘arbeiten,’ and ‘tanzen’ drop the ‘en’ endings and add a ‘t’ + conjugated ending.
Note that verbs ending in ‘d’ or ‘t’ have to add an ‘e’ before the ‘t’ + ending (see ‘arbeiten’ above). Also, the first- and third-person singular (ich and er/sie/es forms) are identical in the preterite, just like with ‘haben’ and ‘sein’ (above). Other verbs that also add an “e” before the “t” are those that do so in the present tense, including atmen, begegnen, leugnen, widmen, and zeichnen (e.g. Er zeichnete/widmete/begegnete).