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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...

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Mathematics 30-1: Module 4 1 Assignment MODULE 4: LESSON 4 ASSIGNMENT /16 MARKS Lesson 4: Trigonometric Ratios 1. The point P 3 1 , 2 2 æ ö ÷ ç ÷ - ç ÷ ç ÷ ç è ø lies at the intersection of the unit circle and the terminal arm of angle in 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: 3. Determine the exact values of the other reciprocal trigonometric ratios if p q q p = £ £ 4 csc , 3 2 . 2 marks - Answer: © 2012 Alberta Education
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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. a. p 5 sin 3 1 mark - Answer: b. p 5 cos 3 1 mark - Answer: c. p 5 cot 3 1 mark - Answer: d. The marker on the bicycle tire is a point on the unit circle. Determine the coordinates of the marker if the angle of rotation is p 5 3 . Stockbyte/Thinkstock 1 mark - Answer: © 2012 Alberta Education
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