By Bernard Kolman, Arnold Shapiro, Michael L. Levitan
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Extra resources for Test Bank for Precalculus. Functions and Graphs
4-4... Zl 4-H4 ! 4-44_ In Problems 15 - 16 find t for 0 ^ t < 2π if: 15. tan t = /J and sin t < 0 16. ) 17. cos" 18. tan sin"1 -^r 19. Prove or disprove cot cot""1 t tan-1 t for all t. 56 CHAPTER TEST 5D In Problems 1 - 3 , for the given number s, find the number t with 0 ^ t < 2π such that Wis) = Wit), where wit) is the wrapping function. 1. 40π 13 -17π 16π 5 In Problems 4 - 5 , find the values of t with π ^ t ^ 3π where the coordinates of Wit) are: 2) *' 12' 5. izl rr^l [2f 2 J In Problems 6 - 8 , find the rectangular coordinates of the given points.
2 - 3i); 6. Rationalize the denominator: 7. Find all solutions to |2 - 3x| = 7 . 8. Solve the inequality -rr > 1. |3x - 2| 9. Perform the indicated operation and write your answer using positive exponents: X -% ί vs X VT+ 6 v,i - X 10. Solve the quadratic equation Ax2 + Ax + 1 = 0 . 11. Solve for x: -Ax + /2 - x = 10. 12. Find the equation of the line perpendicular to the line through (2,-1) and (0,5) and passing through (3,0). 35 CHAPTERS 1 - 3 , CUMULATIVE TEST C Problems 13 -■ 15 refer to fix) = /x + 1 and gix) = 2 + 5*.
Tan a 9. sec Evaluate the following trigonometric functions: H-°) &-«) 10. csc a 11. A policewoman has put a chalk mark on the back of a car's tire in a one hour parking zone. The mark is at a 60° central angle to the point where the tire meets the ground. If the tire has a radius of 15 inches, how many feet does the car have to move forward so that the chalk mark will be hidden by the ground? In Problems 12 - 18, tables and a calculator will be needed. 12. A triangle has one side of length 4 and another of length 5.