project 3 pre calc

Take this test as you would take a test in class. After you are finished, check your work against the answers given in the back of the book. 1. Consider an angle that measures _ radians. (a) Sketch the angle in standard position. (-1,4) (b) Determine two coterminal angles (one positive and one negative). (c) Convert the angle to degree measure. 2. A truck is moving at a rate of 90 kilometers per hour, and the diameter of its wheels is 1.25 meters. Find the angular speed of the wheels in radians per minute. 3. Find the exact values of the six trigonometric functions of the angle o shown in the figure. Figure for 3 4. Given that tan 0 = ; and @ is an acute angle, find the other five trigonometric functions of d. 5. Determine the reference angle O' of the angle 0 = 255" and sketch O and d' in standard position. 6. Determine the quadrant in which o lies if see # 0. 7. Find two exact values of 0 in degrees (0 = 0 0. In Exercises 10-15, sketch the graph of the function. (Include two full periods.) 10. g(x) = -2 sin x - 11. Ax) = = tan 4x 12. f(x) = = sec(x - #) 13. f(x) = 2 cos(1 - 2x) + 3 14. /(x) = 2 csc(x + 5) 15. /(x) = 2 com( x - (-5.2 ) 3 In Exercises 16 and 17, use a graphing utility to graph the function. If the function is periodic, find its period. 16. y = sin 2ax + 2 cos TX 17. y = 6e-D.12 cos(0.251), OS / s 32 18. Find a. b, and c for the function f(x) = a sin(bx + c) such that the graph of f -3 matches the graph at the right. Figure for 18 19. Find the exact value of tan(arccos i) without using a calculator. In Exercises 20-22, use a graphing utility to graph the function. 20. f(x) = 2 arcsin(x) 21. f(x) = 2 arccos x 22. f(x) = arctan = 23. A plane is 160 miles north and 110 miles east of an airport. What bearing should be taken to fly directly to the airport