MATH 190 Midterm: MATH 190 Louisville Practice Exam 3 160407 Solution
Document Summary
Practice exam #3 solutions: (10 points) answer the following questions about trigonometry. (a) (3 points) find the terminal point associated with t = 9 . 2 . (b) (4 points) identify the period, amplitude, and vertical shift of the periodic function g(x) = 7 sin(5x) 2. (c) (3 points) evaluate cot 5 . 6 : (10 points) calculate the labeled quantities in the triangles (not drawn to scale) below. (a) (5 points) determine x and : Since the angles add up to 180 , we know that 120 + 30 + = 180, so = 30 . In this triangle two angles and only one side have been speci ed, making it a prime candidate for application of the rule of sines. Looking at the two labeled sides and their opposite angles, we get: x. 10 sin sin 120 which, multiplying both sides by sin = sin 30 , gives x = 10 sin 30 sin 120 .
