Mathematics 30-1 Assignment Booklet 4 MODULE 4: Lesson 1 ASSIGNMENT Lesson 1: Radians and Degrees in Standard Position The Module 4: Lesson 1 Assignment is worth 9 marks. The value of each question is stated in the left hand margin. (2 marks) 1. Calculate the number of degrees for a measure of 4 Draw this angle in standard position. (2 marks) 2. Calculate the number of radians for a measure of -210". Draw this angle in standard position. MODULE 4: Lesson 1 ASSIGNMENTMathematics 30-1 2 Assignment Booklet 4 (2 marks) 3. Describe the relationship between degrees and radians using the circumference of the unit circle. Use a sketch or image to help you visually describe the relationship. Then explain how this relationship can be used to convert between degrees and radians. You need to explain why the unit conversion from degrees to radians is true! (1 mark) 4. An arc has a central angle of 57.3" in a circle with a diameter of 24 cm. Determine the length of the arc to the nearest whole centimetre. (2 marks) 5. Determine the number of radians through which the minute hand of a clock rotates between 9:00 a.m. and 11:20 a.m. Express your answer as an exact value in it radians.Mathematics 30-1 Assignment Booklet 4 MODULE 4: Lesson 2 ASSIGNMENT Lesson 2: Applications of Radians The Module 4: Lesson 2 Assignment is worth 11 marks. The value of each question is stated in the left hand margin. 1. Determine one positive and one negative coterminal angle for the following angles. (1 mark) a. 420" (1 mark) b. 2. Write a general form expression for all of the angles that are coterminal with each of the following angles. (1 mark) a. 315 [1 mark) b. 6 (2 marks) 3. Identify the angles coterminal with an angle of 650" that satisfy -360" x 2 IT (2 mark) a. Determine the domain and range of the function.Mathematics 30-1 6 Assignment Booklet 4 (4 marks) b. Determine the amplitude, period, phase shift, and vertical displacement for the function algebraically. Justify your answers (2 marks) c. Determine an equation, in standard form, for f(x).Mathematics 30-1 7 Assignment Booklet 4 5. Recall the information in Focus about the lynx and the hare. Suppose a trigonometric function of the form y= a cos [b(x - c)] + d was used to model the lynx population. (2 marks) What information would each parameter (a, b, c, and d) provide about the lynx population for a real-life context