{"paper":{"id":"site-2654","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","variant":null,"exam_pdf":null,"key_pdf":null,"question_count":10,"source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},"questions":[{"id":"site-2654/zad/3138","paper_id":"site-2654","number":"3138","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Kąt alfa jest ostry i sin alfa = 1/4. Wówczas A. cos alfa < 3/4, B. cos alfa = 3/4, C. cos alfa = pierwiastek z 13 / 4, D. cos alfa > pierwiastek z 13 / 14","answer":null,"answer_text":null,"solution":null,"image":"img/site/2654/zad-3138.svg","solution_image":"img/site/2654/rozw-3138.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2654/zad/3144","paper_id":"site-2654","number":"3144","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Kąt alfa jest ostry i cos alfa = 3/4. Wtedy sin alfa jest równy A. 1/4, B. pierwiastek z 7 / 4, C. 7/16, D. pierwiastek z 7 / 16","answer":null,"answer_text":null,"solution":null,"image":"img/site/2654/zad-3144.svg","solution_image":"img/site/2654/rozw-3144.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2654/zad/3292","paper_id":"site-2654","number":"3292","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"W trójkącie prostokątnym dane są kąty ostre: alfa = 27 stopni i beta = 63 stopni. Wtedy A. 1 + sin 63 stopni, B. sin 63 stopni, C. 1, D. 2","answer":null,"answer_text":null,"solution":null,"image":"img/site/2654/zad-3292.svg","solution_image":"img/site/2654/rozw-3292.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2654/zad/4349","paper_id":"site-2654","number":"4349","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Liczba sin 150 jest równa liczbie A. cos 60, B. cos 120, C. tg 120, D. tg 60.","answer":null,"answer_text":null,"solution":null,"image":"img/site/2654/zad-4349.svg","solution_image":"img/site/2654/rozw-4349.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2654/zad/5482","paper_id":"site-2654","number":"5482","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Rozwiązanie zadania. Kąt α jest ostry oraz sinα=4/5. Wtedy A. cosα=1/5 B. cosα=-1/5 C. cosα=-3/5 D.cosα=3/5","answer":null,"answer_text":null,"solution":null,"image":"img/site/2654/zad-5482.svg","solution_image":"img/site/2654/rozw-5482.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2654/zad/5777","paper_id":"site-2654","number":"5777","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Rozwiązanie zadania. Kąt α jest ostry oraz sinα = 2√5/5. Wtedy A. cosα = 5/2√5 B. cosα = √5/5 C. cosα = 1/5 D. α = 4/5.","answer":null,"answer_text":null,"solution":null,"image":"img/site/2654/zad-5777.svg","solution_image":"img/site/2654/rozw-5777.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2654/zad/6668","paper_id":"site-2654","number":"6668","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Kąt α jest ostry oraz 4tgα = 3sin²α + 3cos²α. Tangens kąta α jest równy A. 3/4 B. 4/3 C. 1/4 D. 4","answer":null,"answer_text":null,"solution":null,"image":"img/site/2654/zad-6668.svg","solution_image":"img/site/2654/rozw-6668.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2654/zad/6730","paper_id":"site-2654","number":"6730","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Dany jest kąt o mierze α taki, że sinα = 4/5 oraz 90°<α<180°. Oceń prawdziwość poniższych stwierdzeń. Wybierz P, jeśli stwierdzenie jest prawdziwe, albo F - jeśli jest fałszywe. Dla kąta α spełnione jest równanie: cosα = -{3/5}. P F. Dla kąta α spełnione jest równanie: |tgα| = 3/4. P F.","answer":null,"answer_text":null,"solution":null,"image":"img/site/2654/zad-6730.svg","solution_image":"img/site/2654/rozw-6730.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2654/zad/7248","paper_id":"site-2654","number":"7248","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Jeżeli kąt α jest ostry i tgα=3/4, to 2-cosα / 2+cosα równa się A. -1 B. -1/3 C. 3/7 D. 84/25","answer":null,"answer_text":null,"solution":null,"image":"img/site/2654/zad-7248.svg","solution_image":"img/site/2654/rozw-7248.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2654/zad/8155","paper_id":"site-2654","number":"8155","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Kąt α jest ostry i spełnia warunek sinα + sin²α = cosα - cos²α + 1. Tangens kąta α jest równy A. 1/2 B. √2/2 C. 1 D. 2","answer":null,"answer_text":null,"solution":null,"image":"img/site/2654/zad-8155.svg","solution_image":"img/site/2654/rozw-8155.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"}]}