Graphing trigonometric functions - Write your Own Problem 1. Research a real life case that you can model as a trigonometric equation. The data that you will use have to be real and accurate. 2. Create one problem that requires finding trigonometric equations to be solved. You can get ideas from the Internet or discuss with your friends, but your problem must be entirely your creation. 3. Your problem must include: a. Writing two equations, one with sine and one with cosine. b. Asking for a sketch of the information and your equation. c. Making some sort of prediction using the equations that you found above. 4. You must solve your problem. 5. Record where you find the information that you use and include a link. 6. Type and dropbox in Haiku your problem leaving space for the solutions. Handwrite the answers and hand in person the printed sheet with the handwritten solutions. 7. Assess and grade your own work using the rubric on the back. Note: If you cannot print out and solve your problems ON the printed document you may do them by hand on a separate piece of paper. This assignment is worth ten points. The rubric is on the back of this page. Rubric Grade your own work. 2 1.5 1 0.5 Problem The problem is correct and properly stated. The problem is missing some major information. Solutions All parts of the solution are correct. There are minor issues about how the problem is written. One or two minor errors in the solution. The solution to the problem will not be a trigonometric equation. Attempted but not correct at all. Organization Real life and sources Originality The project is well presented including drawing all graphs. All the work is shown and organized in a logical way. The problem is relevant in a real-life situation. The source is reliable and the link correct. The problem is interesting and entirely yours. Taken from real world data but you wrote the problem based on the data. Final grade (give yourself a grade) The project is clear but not always well presented. One or more major errors including incorrect setup. The work is not clear and difficult to follow. The work is not there. The link is provided, but the source is not reliable or the problem is not relevant. There is no link or any way to verify if the data are correct. The problem does not make sense in a reallife situation. The problem is yours, but lacks originality. The problem is taken from a source and the numbers are just altered. The problem is taken from a source and only one number is altered. Problem Solution Organization 2 2 2 Real Life and Sources Originality 2 Final Grade 10 2 The problem is correct and properly stated All parts of the solution are correct The project is well presented including drawing all graphs. All the work is shown and organized in a logical way The problem is relevant in a real-life situation. The source is reliable and the link is correct The problem is interesting and entirely yours. Taken from real world data but you wrote the problem based on the data Problem: The Empire State building in New York is approx. 443 m. high (to tip)1. A certain ladder of 100 m long is leaning with this building making an angle of elevation of 50o. How far can you reach on the building using this ladder? How far the other end of the ladder is on the ground from the building? Solution: The angle of elevation of ladder and length of the ladder is given. Since we don't know how far the ladder is reaching up on the building we call this height to be h. we can plug these values in sine equation to find how far the ladder is reaching on the building. sin = perpend icular hypot eneous sin ( 50o )= h 100 m 443m 100m o h=si n ( 50 )100 m h=76.6 m Therefore the ladder will be able to reach the height of 76.6m 50o distance Now we try to find how far the other end of ladder on ground will be while leaning with the building. We use cosine equation to find this distance: cos= base hypoteneous cos ( 50o )= distance 100 m o distance=cos ( 50 )100 m distance=64.3 m 1 http://www.ctbuh.org/ \f