NAME DATE PERIOD Chapter 5 Test, Form 2B SCORE Write the letter for the correct answer in the blank at the right of each question. 1. Simplify sec () sin () cot ( csc (). A sec ( B csc () C tan ( D sin () 2. If' see 0 = -2 on the interval (180, 2709). find tan (. H 2. 3. SCIENCE If'a book weighs p pounds and it is on a flat surface that is at an angle of () degrees. the coefficient of static friction c for the book is given by ep sec 0 = p tan (). Which of the following is an equivalent equation for c? A c = cos () Be = tan () Cc = sin 0 De = cot () 3. 4. Simplify fanx + 1 sin x cos x F 2 tan G 2 cos .x H 2 cos .r - 1 J 2 sec .x 4. 5. Ifx = ". find sin (r + n). A V3-1 V3 NIm D V3 5. 6. Find the exact value of sin 1050. F -V2 - V6 V6 - VZ H V6 + VZ J VZ - V6 7. UTILITY POLE Two wires support a utility pole and form angles a and B with the ground. Find the value of tan (a - B) if cos a = = on the interval (270. 3609) and sin B = - 5on the interval (270, 3609). 16 B- 16 56 56 1 . 63 63 33 33 8. Which expression is equivalent to cos (( + )? F -cos () G sin () H cos () J -sin () 8. 9. SOCCER The horizontal distance .x traveled by a soccer ball if it is kicked from ground level with an initial velocity of v and angle () is x = _ v2 tan 20. Which of the following is an equivalent expression for x? A -v2sin ( cos () C 7 12 cot 20 12 tan # 1- tan28 37 V2 tan20) 9. 16 10. Which expression is not equivalent to cos 20 for all values of () ? F cos' () - sin?() G 1 -2 sin2 0) H 2 cos2 0) - 1 J cos2 () + sin? () 10. 11. If cos () = - con the interval (", IT). find the exact value of tan 20. A - 25 B 25 C 24 25 11. Chapter 5 41 Glencoe PrecalculusChapter 5 Test, Form 2B (continued) 12. If sin 0 = 0.6. find - cos ("-#) F-0.6 G-0.4 H 0.6 J 1.7 12. 13. Solve cser + 2 = 0 on the interval (0. 2x). A- 13. 6 6 3 ' 3 6 ' 6 14. The refractive index of several gems is listed in the table. Find the approximate refraction angle 02 of a sapphire when the angle of incidence is 8, = 45 using Snell's Formula sin 01 = n2 sin 02. where no is the refractive index of a gem. Gem Amber Diamond Ruby Sapphire Refractive Index 1.55 2.40 1.78 1.77 F 0.69 G 23.50 H 39.90 J 69.70 14. 15. Solve 4 sin v - 4 sin r + 1 = 0 for all values of .r. A "+ 2nn. 1101 + 2/12 C 5 + 2n17. 6 B-"+ 2n2. " + 2n1 D"+ 2n1. 6 15. 16. Solve tan - = csc2 0 - cot20) on the interval (0. 2xt). 3 RX GO. " H " JO. n. " 16. 17. MACH NUMBER The angle () at the vertex of the cone-shaped shock wave produced by a plane breaking the sound barrier is related to the mach number M describing the plane's speed by the equation - = M. Find the mach number of a plane if cos (= sin - B 2 C 4 D 5 17. 18. Find the exact value of tan 1050. F - V3 - 2 G- V3+ 2 H V3-2 J - V3 18. 19. Rewrite sin 100 cos 60) as a sum or difference. A = (cos 160 - sin 40) C(cos 160) + cos 40) B - (sin 160- cos 40) (sin 160) + sin 40) 19. 20. Find the exact value of = cos 465 cos 750. F - V3 - 2 G - V3+2 H V3 - 2 J V3 + 2 20. 8 8 Bonus Express cos () in terms of tan O if O is on the interval (90. 180). B:NAME DATE PERIOD Chapter 8 Test, Form 2B SCORE Write the letter for the correct answer in the blank at the right of each question. 1. Find the vertical component of v with a magnitude of 6.1 inches and a direction angle of 55. A 3.50 in. B 5.00 in. C 7.45 in. D 10.64 in. 2. Find a unit vector u with the same direction as v = (-3. -6). F ( _ VS VS) G (-6. -3) H ( _ VS 2V5, 2 ' 2 2. 3. Find the resultant of the pair of vectors using either the triangle method or the parallelogram method. State the magnitude of the resultant in centimeters. A 2.5 cm: 50.80 C 2.8 cm: 50.80 B 2.5 cm: 39.20 D 2.8 cm; 39.20 3. 4. Find the measure of the angle ( between the vectors a = (-15. 4) and b = (3. 10) to the nearest tenth of a degree. F 62.40 G 71.60 H 87. 10 J 91.80 5. Find the component form and magnitude of AB with initial point (-4.3, -0.9) and terminal point B(-2.8. 0.2). Then find the magnitude of AB . A (1.5. 1.1); 3.46 C (1.5, 1.1): 1.86 B (-7.1. -0.7); 7.13 D (-7.1, -1. 1): 7.18 5. 6. A force F1 of 6 newtons pulls due north. A force F2 of 8 newtons pulls due east. Find the magnitude and direction of the resultant force. F 10 N: 53.10 G 14 N: 53.10 H 10 N: 36.90 J 14 N: 36.90 For Questions 7 and 8, find each of the following for v = (-4, 0), w = (-2, 4), r = (-3, 7, 2), and s = (6, -3, 5). 7. 3w - 4v A (-22. 12) B (-6, 0) C (-10, -12) D (10, 12) 1. 8. 2r - s F (9. 1. -8) G (-12. 17.-1) H ( 15. 1. -8) J (0. 1 1, 9) 8. 9. Jerard pushes a box up a ramp with a constant force of 55.2 newtons at a constant angle of 22. Find the work done in joules to move the box 4 meters. A 82.7 J B 89.2 J C 157.3 J D 204.7 J 10. Find the cross product of v = (-5. 4, -8) and w = (6, -2, 6). F (34. -78. 34) G (-8. 16. 14) H (8, -16, -14) J (-34, 78, -34) 10