Question 1: Answer. a) Explain the difference between a positive angle and a negative angle. (2pt) b) Consider the time 11:30 where the initial side is the hour hand and terminal side is the minute hand. Draw the angle between the two hands in standard position. State the angle in positive degrees and then restate the angle as a negative angle. (2pts) c) Draw a picture depicting the definition of a radian and in your own words, write a definition. (2 pts.) d) Draw a circle. Show approximate radian and degree values for every 1/8 of the circle. Show approximate values for 1, 2, 3, 4, 5, and 6 radians. (4pts) Question 2: Create. Create a real-world situation where you would need to calculate an arc length or area of a sector. Be creative! For example, you could calculate the distance between two cities on Earth or find the area of lawn watered by a circular sprinkler. (6pts) Don’t include your analysis in your post. Keep this work for later in the discussion and to respond to your classmates. Question 3: Create. Create a function of form f(x) = A sin(Bx-C) + D, where the values of A, B, C, and D are not equal to 1. Sketch an accurate graph of this function, showing at least 5 key points. Identify the important characteristics: period, amplitude, phase shift, midline, and y-intercept. (12pts) 3) Post. Post your Project to the Module 5 Project Discussion forum on Canvas. 4) Review other projects and respond. a) Choose one of your classmate’s projects. Solve the problem posed by your classmate given in Question 2. (8pts) b) Choose another of your classmate’s projects. Change a single parameter in your classmate’s function in Question 3. You may choose to change the A, B, C, or D value or even the trig function! How does changing this parameter affect the resulting characteristics and key points? Provide an accurate graph. (14pts) Grading: This discussion will be graded as follows: 28 points: Completion of Questions 1-3
