appendix_a_page_727

appendix_a_page_727 - January 27, 2005 11:57 l24-appa Sheet...

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January 27, 2005 11:57 l24-appa Sheet number 1 Page number 727 black 727 APPENDIX A Trigonometry Review EXERCISE SET A 1. (a) 5 π/ 12 (b) 13 6 (c) 9 (d) 23 30 2. (a) 7 3 (b) 12 (c) 5 4 (d) 11 12 3. (a) 12 (b) (270 ) (c) 288 (d) 540 4. (a) 18 (b) (360 ) (c) 72 (d) 210 5. sin θ cos θ tan θ csc θ sec θ cot θ (a) 21 / 5 2 / 5 21 / 2 5 / 21 5 / 2 2 / 21 (b) 3 / 4 7 / 4 3 / 7 4 / 3 4 / 7 7 / 3 (c) 3 / 10 1 / 10 3 10 / 3 10 1 / 3 6. sin θ cos θ tan θ csc θ sec θ cot θ (a) 1 / 2 1 / 2 1 2 2 1 (b) 3 / 5 4 / 5 3 / 4 5 / 3 5 / 4 4 / 3 (c) 1 / 4 15 / 4 1 / 15 4 4 / 15 15 7. sin θ =3 / 10, cos θ =1 / 10 8. sin θ = 5 / 3, tan θ = 5 / 2 9. tan θ = 21 / 2, csc θ =5 / 21 10. cot θ = 15, sec θ =4 / 15 11. Let x be the length of the side adjacent to θ , then cos θ = x/ 6=0 . 3, x . 8. 12. Let x be the length of the hypotenuse, then sin θ =2 . 4 /x =0 . 8, x . 4 / 0 . 8=3. 13. θ sin θ cos θ tan θ csc θ sec θ cot θ (a) 225 1 / 2 1 / 2 1 2 2 1 (b) 210 1 / 2 3 / 2 1 / 3 2 2 / 3 3 (c) 5 3 3 / 2 1 / 2 3 2 / 3 2 1 / 3 (d) 3 2 1 0 1 0 14. θ sin θ cos θ tan θ csc θ sec θ cot θ (a) 330 1 / 2 3 / 2 1 / 3 2 2 / 3 3 (b) 120 3 / 2 1 / 2 3 2 / 3 2 1 / 3 (c) 9 4 1 / 2 1 / 2 1 2 2 1 (d) 3 π 0 1 0 1
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January 27, 2005 11:57 l24-appa Sheet number 2 Page number 728 black 728 Appendix A 15. sin θ cos θ tan θ csc θ sec θ cot θ (a) 4 / 5 3 / 5 4 / 3 5 / 4 5 / 3 3 / 4 (b) 4 / 5 3 / 5 4 / 3 5 / 4 5 / 3 3 / 4 (c) 1 / 2 3 / 2 1 / 3 2 2 3 3 (d) 1 / 2 3 / 2 1 / 3 2 2 / 3 3 (e) 1 / 2 1 / 2 1 2 2 1 (f) 1 / 2 1 / 2 1 2 2 1 16. sin θ cos θ tan θ csc θ sec θ cot θ (a) 1 / 4 15 / 4 1 / 15 4 4 / 15 15 (b) 1 / 4 15 / 4 1 / 15 4 4 / 15 15 (c) 3 / 10 1 / 10 3 10 / 3 10 1 / 3 (d) 3 / 10 1 / 10 3 10 / 3 10 1 / 3 (e) 21 / 5 2 / 5 21 / 2 5 / 21 5 / 2 2 / 21 21 / 5 2 / 5 21 / 2 5 / 21 5 / 2 2 / 21 17. (a) x = 3 sin 25 1 . 2679 (b) x =3 / tan(2 π/ 9) 3 . 5753 18. (a) x =2 / sin 20 5 . 8476 (b) x / cos(3 11) 4 . 5811 19. sin θ cos θ tan θ csc θ sec θ cot θ (a) a/ 3 9 a 2 / 3 a/ 9 a 2 3 /a 3 / 9 a 2 9 a 2 /a (b) a/ a 2 +25 5 /
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appendix_a_page_727 - January 27, 2005 11:57 l24-appa Sheet...

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