Pre-Calc Exam Notes 153

Pre-Calc Exam Notes 153 - Appendix A Answers and Hints to...

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Appendix A: Answers and Hints to Selected Exercises 153 sin θ =− radicallow 21/5 and tan θ =− radicallow 21/2 27. cos θ = radicallow 3/2 and tan θ = 1/ radicallow 3; cos θ =− radicallow 3/2 and tan θ =− 1/ radicallow 3 29. cos θ 1 and tan θ = 0 31. cos θ = 0 and tan θ is undefined 33. sin θ = 1/ radicallow 5 and cos θ =− 2/ radicallow 5; sin θ =− 1/ radicallow 5 and cos θ = 2/ radicallow 5 35. sin θ = 5/13 and cos θ = 12/13; sin θ =− 5/13 and cos θ =− 12/13 37. No 39. No Section 1.5 (p. 37) 1. (a) 328 (b) 148 (c) 212 3. (a) 248 (b) 68 (c) 292 7. 25 , 155 9. 65 , 295 11. 38 , 218 13. 169 , 191 15. D = parenleftBig ab 2 a 2 + b 2 , a 2 b a 2 + b 2 parenrightBig Chapter 2 Section 2.1 (p. 43) 1. b = 7 . 4, c = 15 . 1, C = 120 3. a = 9 . 7, b = 10 . 7, C = 95 5. b = 65 . 1, B = 136 . 5 , C = 18 . 5 7. No solution 9. b = 24 . 9, B = 59 . 9 , C = 70 . 1 ; b = 9 . 9, B = 20 . 1 , C = 109 . 9 11. 422 mi/hr 15. 5 . 66 cm and 12 . 86 cm 16. Hint: Think geometrically. Section 2.2 (p. 49) 1. a = 10 . 6, B = 40 . 9 , C = 79 . 1 3. A = 47 . 9 , b = 8 . 2, C = 72 . 1 5. No solution 7. 4 . 13 and 8 . 91 cm 9. 50 . 5 , 59 , 70 . 5 11. 7 cm 15. Hints: One of the angles in the formulas is a right angle; also, use the definition of cosine. Section 2.3 (p. 53) 1. A = 79 . 1 , B = 40 . 9 , c = 10 . 6 3. A = 47 . 9 , b = 8 . 2, C = 72 . 1 5. No 6. Yes 11. Hint: Think of Exercise 10. Section 2.4 (p. 58) 1. 22 . 55 3. 9 . 21 5. 3 4 radicallow 15 2 . 905 7. 12 . 21 9. Hints: The diagonals break the
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