{"id":"site-4324/zad/4338","paper_id":"site-4324","number":"4338","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":2014,"month":null,"level":"rozszerzona","text":"Wykaż, że jeżeli alfa, beta, gamma są kątami wewnętrznymi trójkąta i sin^2 alfa + \\sin^2 beta < \\sin^2\\ gamma, to cos gamma < 0.","answer":null,"answer_text":null,"solution":null,"image":"img/site/4324/zad-4338.svg","solution_image":"img/site/4324/rozw-4338.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań · 2014 (rozszerzona)","subject_label":"Matematyka","category_label":"Zbiory zadań","text_html":"<p>Wykaż, że jeżeli alfa, beta, gamma są kątami wewnętrznymi trójkąta i sin^2 alfa + \\sin^2 beta &lt; \\sin^2\\ gamma, to cos gamma &lt; 0.</p>","solutions":[{"source":"site","label":"matematykaszkolna.pl","kind":"image","image":"/img/site/4324/rozw-4338.svg"}]}