Name: I.D. Number Project 2 Evaluation 32 PROJECT Precalculus: Trigonometry (MTHH 044 059) Be sure to include ALL pages of this project (including the directions and the assignment) when you send the project to your teacher for grading. Don't forget to put your name and I.D. number at the top of this page! This project will count for 12% of your overall grade for this course. Be sure to read all the instructions and assemble all the necessary materials before you begin. You will need to print this document and complete it on paper. Feel free to attach extra pages if you need them. When you have completed this project you may submit it electronically through the online course management system by scanning the pages into either .pdf (Portable Document Format), or .doc Microsoft Word document) format. If you scan your project as images, embed them in a Word document in .gif image format. Using .gif images that are smaller than 8 x 10 inches, or 600 x 800 pixels, will help ensure that the project is small enough to upload. Remember that a file that is larger than 5,000 K will NOT go through the online system. Make sure your pages are legible before you upload them. Check the instructions in the UNHS online course management system or your enrollment information with your print materials for more information. ***Remember that showing your work in arriving at solutions is required for all problems.*** Find the following function values to 4 decimal places without using a calculator. Show your work. 1 . sin 74 45' 2. cos 53 2' Project 2 MTHH 044 Find the angle 0 to the nearest minute without using a calculator. Show your work. tan 0 = 1.063 4. CSC 0 = 1.944 Solve the following problems. Draw a diagram for each problem and show your work.Solve the following problems. Draw a diagram for each problem and show your work. 5. Find the perimeter of a regular pentagon inscribed in a circle of radius 20 inches. Project 2 MTHH 044 6. From a point level with the base of a water tower, the angle of elevation to the bottom of the water tank is 38 and to the top of the water tank is 47. If the water tank itself is 20 feet high, what is the height of the tower and tank together? Show your work. 7. A ship travels a distance of 82 miles in the direction N 18 E and then travels 46 miles in the direction S 72 E. Find the distance and bearing of the ship's final position from its original position. Show your work. Reduce the first expression to the second. Show your work. 8. sin2 0 - cos2 0 sin 0 - cos 0 ; sin 0 + cos e Project 2 MTHH 044 9. (sec x - 1) (sec x + 1); tan2 xUse the fundamental identities to verify the following identities. Show your work. 10. sin x 1 + cos x 1 + COs x Sin X sin x 11. 1 1 + sin 0 1 - sin 0 = 2 sec2 0 Project 2 MTHH 044 Prove the following identities. Show your work. 12. sin 2 cos ? = 2 sin x 13. 1 - cos 2x 2 = sin2 x 14. 2 cot 2A = cot A - tan A14. 2 cot 2A = cot A - tan A Project 2 MTHH 044 15. Cos 2x + Cos 4x cot 3x COs 2X - COS 4x tan x Verify the following equation without using your calculator or Table of Trigonometric Functions. Be sure to show all your calculations. 16. sin-1 - - cos-1 12 = Cos-1 56 Declaration know that plagiarism is wrong. Plagiarism is to use another's work and pretend that it is one's own. I declare that this is my own work. Signature Student I.D. number This project can be submitted electronically. Check the Project page under "My Work" in the UNHS online course management system. Project 2 MTHH 044