{"id":"informator-maturalny-matematyka-2010/zad/23","paper_id":"informator-maturalny-matematyka-2010","number":"23","points":1,"ptype":"closed","subject":"matematyka","category":"informator-maturalny","year":2010,"month":null,"level":null,"text":"Zadanie 23. (1 pkt)\nKąt α jest ostry i cos\n0,9\nα =\n. Wówczas\nA.\no\n30\nα <\nB.\no\n30\nα =\nC.\no\n45\nα =\nD.\no\n45\nα >","answer":"A","answer_text":null,"solution":"cos30°=√3/2≈0,866<0,9=cosα. Funkcja cosinus jest malejąca dla kątów ostrych, więc α<30°. Odpowiedź: A.","image":"img/informator-maturalny-matematyka-2010/zad-23.webp","solution_image":null,"topics":null,"page_from":42,"source":"ai","answer_source":"ai","answer_text_source":null,"solution_source":"ai","text_source":"ocr","source_label":"Matematyka · Informator maturalny · 2010","subject_label":"Matematyka","category_label":"Informator maturalny","text_html":"<p>Zadanie 23. (1 pkt)<br>Kąt α jest ostry i cos<br>0,9<br>α =<br>. Wówczas<br>A.<br>o<br>30<br>α &lt;<br>B.<br>o<br>30<br>α =<br>C.<br>o<br>45<br>α =<br>D.<br>o<br>45<br>α &gt;</p>","solutions":[{"source":"ai","label":"AI","kind":"text","html":"<p>cos30°=√3/2≈0,866&lt;0,9=cosα. Funkcja cosinus jest malejąca dla kątów ostrych, więc α&lt;30°. Odpowiedź: A.</p>"}]}