{"id":"informator-maturalny-matematyka-2010/zad/7","paper_id":"informator-maturalny-matematyka-2010","number":"7","points":1,"ptype":"closed","subject":"matematyka","category":"informator-maturalny","year":2010,"month":null,"level":null,"text":"Zadanie 7. (1 pkt)\nKąt α jest ostry i\n4\n3\ncos\nα\n. Wtedy\nα\nsin\njest równy\nA. 4\n1\nB.\n4\n7\nC. 16\n7\nD.\n16\n7","answer":"B","answer_text":null,"solution":"sin^2α = 1 - cos^2α = 1 - 9/16 = 7/16, α ostry więc sinα = sqrt(7)/4. Odpowiedź: B.","image":"img/informator-maturalny-matematyka-2010/zad-7.webp","solution_image":null,"topics":null,"page_from":38,"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 7. (1 pkt)<br>Kąt α jest ostry i<br>4<br>3<br>cos<br>α<br>. Wtedy<br>α<br>sin<br>jest równy<br>A. 4<br>1<br>B.<br>4<br>7<br>C. 16<br>7<br>D.<br>16<br>7</p>","solutions":[{"source":"ai","label":"AI","kind":"text","html":"<p>sin^2α = 1 - cos^2α = 1 - 9/16 = 7/16, α ostry więc sinα = sqrt(7)/4. Odpowiedź: B.</p>"}]}