Mathematics 30-1: Module 4 1 Assignment MODULE 4: LESSON 4 ASSIGNMENT /16 MARKS Lesson 4: Trigonometric Ratios 3 , - 1 1. The point P lies at the intersection of the unit circle and the terminal arm of angle in 2 2 standard position. a. Draw a diagram to model the situation. 1 mark - Answer: b. Determine the values for tan , sec , and csc . Express your answers in lowest terms. 3 marks - Answer: 2. The point P(4, 5) is on the terminal arm of an angle . a. Draw a diagram showing in standard position. 1 mark - Answer: b. Calculate the exact values for the six trigonometric ratios. 3 marks - Answer: 4 p 3. Determine the exact values of the other reciprocal trigonometric ratios if csc q = , q p . 3 2 2 marks - Answer: 2012 Alberta Education Mathematics 30-1: Module 4 2 Assignment 4. At the beginning of the lesson, the idea of a bicycle tire with a radius of 1 unit being used to determine the height of the marker after a rotation of a specific angle was presented. Determine the exact value for the following trigonometric ratios. 5p a. sin 3 1 mark - Answer: b. cos 5p 3 1 mark - Answer: 5p c. cot 3 1 mark - Answer: d. The marker on the bicycle tire is a point on the unit circle. Determine the coordinates of 5p the marker if the angle of rotation is . 3 Stockbyte/Thinkstock 1 mark - Answer: 2012 Alberta Education Mathematics 30-1: Module 4 3 Assignment 5. Determine the approximate value of each trigonometric ratio. Make sure to round your answer to four decimal places. Justify the sign for each ratio. a. cos 2.51 1 mark - Answer: b. csc (125) 1 mark - Answer: Submit your completed Lesson 4 Assignment to your teacher for assessment. 2012 Alberta Education