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MATH 115 QUIZ 5Fall 2022 Instructor: A. Wimbish NAME: _______________________________ I have completed this assignment myself, working independently and not consulting anyone except the instructor. INSTRUCTIONS · The quiz contains 8 problems worth 10 points each for a total of 80 points. This quiz is open book and open notes. This means that you may refer to your textbook, notes, and online classroom materials, but you must work independently and may not consult anyone (and confirm this with your submission). You may take as much time as you wish, provided you turn in your quiz no later than Tuesday December 6. · Show work/explanation where indicated. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the quiz, or if you prefer, create a document containing your work. Scanned work is acceptable also. In your document, be sure to include your name and the assertion of independence of work. · General quiz tips and instructions for submitting work are posted in the Quizzes module. · If you have any questions, please contact me by e-mail or text 301-254-1170. 1. Solve the equation, giving the exact solutions which lie in [0,2π) (Sect 10.7). YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT. tan(2x) - 2cos(x) = 0 2. Solve the equation, giving the exact solutions which lie in [0,2π) (Sect 10.7). YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT. cos(3x) = cos(5x) 3. Solve for the remaining side(s) and angle(s) if possible. As in the text, (α, a). (β, b) and (γ, c) are angle-side opposite pairs. (Sect 11.2). YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT. α = 95°, a = 33.33, β = 62° 4. Solve for the remaining side(s) and angle(s) if possible. As in the text, (α, a). (β, b) and (γ, c) are angle-side opposite pairs. (Sect 11.2). YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT. α = 53°, γ = 53°, c = 28.01 5. Use the Law of Cosines to find the remaining side(s) and angle(s), if possible. (Sect 11.3). YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT. a = 5, b = 12, c = 13 6. Solve for the remaining side(s) and angle(s), if possible, using any appropriate technique. (Sect 11.3). YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT. α = 63°, a = 22, b = 20 7. Find the component form of the vector using the information given about its magnitude and direction. Give exact values (Sect 11.8). YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT. = 2; when drawn in standard position lies in Quadrant III and makes a 30° angle with the negative x-axis. 8. For = and = (Sect 11.9). YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT. Find a. b. The angle θ (in degrees) between and