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Math 021 MATH - 0029 Quiz 1/100 points Spring 2021 Due by Saturday, February 6th @ 11:59pm. Directions: Please do your own work. Do not solicit help from anywhere or anyone or from any other source or classmates to help you with the Test. You could use you textbook, notes and any other online sites to help you familiarize with the topics, but do not directly use these questions to seek assistance. You may use a scientific calculator. Please show all work completely. Once done, please send it to me via email (
[email protected]) in PDF form with “Test 1Math 1022_your name” as the subject. Ensure that all problems are done in order and your Test is legible. Name: _________________________________ 1) Find the trig function values rounded to four decimal places of the following. (5 points) a) csc ( 12.45 )− b) ( )2.4Cot c) ( )0Sec 450 2) Given 3cos 7 θ = and θ is acute, find the other five trig function values of angle θ . (3 points) mailto:
[email protected] 3) Find Exactly. Show evidence of all work. (10 points) a) b) c) d) e) ( )315cos f) 3 5sin π 4. Given a circle of radius 3 in, find the length of an arc intercepted on its circumference by a central angle measure of 225 . (5 points) 5. Given 5sec , tan 0 2 andθ θ= < ,="" use="" a="" right="" triangle="" and="" trigonometric="" ratios="" to="" find="" the="" values="" of="" the="" other="" five="" trigonometric="" functions="" of="" angle="" θ="" .="" (7="" points)="" 6.="" convert="" 121="" to="" radians="" rounded="" to="" the="" nearest="" tenth.="" (4="" points)="" 7.="" use="" pythagorean="" identities="" and="" a="" calculator="" to="" find="" the="" value="" of="" the="" indicated="" trigonometric="" function="" and="" round="" your="" answer="" to="" three="" decimal="" places,="" given="" that="" 53.1tan="" −="θ" ,="" find="" only="" θsin="" ,="" if="" 0cos="">θ (6 points) 8. A parasailer is attached to a boat with a rope 300 feet long. The angle of elevation from the boat to the parasailer is 480. Estimate the parasailer’s height above the boat. (6 points) 9. You measure the angle of elevation from the ground to the top of a building as 320. When you move 50 meters closer to the building, the angle of elevation is 530. How high is the building? (8 points) 10. Find the exact value of each of the following, unless the expression is undefined ( any answers that are angles should be stated in radians, in terms of π ). (20 points) a) − 3 1arctan b) − 5 9(coscos 1 π ) c) csc[tan ( )]− −1 2 3 d) arccos(cos )2 e) ( ))1arccos − f) )4(sinsin 1 − π g) ( )1sin 1 −− h) arccos − 2 3 For problems 11 - 14, solve the triangle(s) with the understanding that a is opposite angle A, side b is opposite angle B and c is opposite angle, C round angles to the nearest tenth of a degree and sides to three significant digits. (16 points) 11. 1.42,6.45,3.118 === bCB 12. cmbcmaA 18,11,26 === 13. mcmbma 0.12,6.24,2.21 === 14. 0.24,0.15,0.86 === candbA 15. a) If 1cos , tan cot csc 3 and is in Quadrant III findθ θ θ θ θ= − + (10 points) b) Express tan secin terms of for inQuadrant IIθ θ θ Assignment 6: Resources: Chapter 12: JavaFX: GUI Programming and Basic Controls Use Net Beans or Eclipse and any Java Compiler to complete the following programs. Submission: You need to add the screenshots for each question along with the source code. Hint: Use the comments in the source code. Complete both Questions 2 & 8.