{"id":1904,"date":"2020-06-09T09:58:00","date_gmt":"2020-06-09T09:58:00","guid":{"rendered":"http:\/\/ibalmaths.com\/?post_type=knowledgebase&p=1904"},"modified":"2020-06-12T08:40:08","modified_gmt":"2020-06-12T08:40:08","slug":"practice-questions-trigonometric-functions","status":"publish","type":"knowledgebase","link":"https:\/\/ibalmaths.com\/index.php\/ibdp-math-hl-2\/trigonometric-functions\/practice-questions-trigonometric-functions\/","title":{"rendered":"Practice Questions – Trigonometric Functions"},"content":{"rendered":"

Q1. The equation of a curve is \r\ny<\/mi>=<\/mo>2<\/mn> <\/mo>cos<\/mi>x<\/mi><\/math>\r\n .
\r\n(i) Sketch the graph of\u00a0 \r\ny<\/mi>=<\/mo>2<\/mn> <\/mo>cos<\/mi>x<\/mi><\/math>\r\n for \r\n–<\/mo>π<\/mi><<\/mo>x<\/mi><<\/mo>π<\/mi><\/math>\r\n , stating the coordinates of the point of intersection with the y-axis. [2]<\/p>\r\n

Points P and Q lie on the curve and have x-coordinates of \r\nπ<\/mi>3<\/mn><\/mfrac><\/math>\r\n and \r\nπ<\/mi><\/math>\r\n respectively.
\r\n(ii) Find the length of PQ correct to 1 decimal place. [2 marks]<\/p>\r\n

The line through P and Q meets the x-axis at\u00a0 \r\nH<\/mi>h<\/mi>,<\/mo>0<\/mn><\/mrow><\/mfenced><\/math>\r\n and the y-axis at\u00a0 \r\nK<\/mi>0<\/mn>,<\/mo>k<\/mi><\/mrow><\/mfenced><\/math>\r\n
\r\n(iii) Show that \r\nh<\/mi>=<\/mo>5<\/mn>π<\/mi><\/mrow>9<\/mn><\/mfrac><\/math>\r\n and find the value of \r\nk<\/mi><\/math>\r\n . [ 3 marks]<\/p>\r\n