AnSWErS to tHE StudEnt'S Book ExErCiSES - Hodder Plus Home

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3 a) y1y sin θ180° 90°0 90° 180° θb) 5 44° and 136° approximately4 a) y11y cos θ090° 180° 270° 360° 450° 540° θ1b) 5 114°, 246° and 474° approximately5 5 (53°), 127°, 413° and 487°6 a) y33y1y sin 2 θ21030° 60° 90° 120° 150° 180°θ0190° 180° 270° 360°θ41y2y tan θ1y cos 2 θ3b) 5 50° and 230° approximatelyExercise 33.5 (page 462)045° 90° 135° 180° 225° 270° 315° 360°θ1 a) 3, 360° b) 1, 72° c) 3, 90°d) 4, 720° e) 5, 120° f) 2, 450°2 y15 y332y 3 cos θ2y 2.5 sin θ110130° 60° 90° 120° 150° 180°θ0190° 180° 270° 360°θ2233230Answers to the Student’s Book exercisesHigher WJEC GCSE Mathematics © 2010, Hodder Education
6yd) (i)y1y cos 3 θ20130° 60° 90° 120° 150° 180°The solutions of cos 3 5 20.5 are 40°, 80° and160°Mixed exercise 33 (page 464)1 a) 17.1 cm 2 b) 30.9 cm 2c) 46.8 cm 2 d) 16.3 cm 22 a) 24° b) 31°c) 73°3 a) 7.95 cm b) 16.2 cm4 a) 8.1 cm b) 29°c) 53° d) 15.9 cm5 a) PR ∧ Q 5 52°, QP ∧ R 5 55°, QR 5 12.4 cmb) XY ∧ Z 5 53°, ZX ∧ Y 5 19°, YZ 5 9.7 cmc) AC ∧ B 5 49°, AC 5 8.8 cm, AB 5 6.7 cmd) PQ ∧ R 5 57°, QR 5 7.2 cm, PR 5 9.0 cm6 Side XY is longest at 8.7 cm7 a) 6.7 cm b) 9.2 cmc) 48° d) 51°8 a) CA ∧ B 5 36°, CB ∧ A 5 63°, AB 5 6.3 cmb) CA ∧ B 5 41°, AB ∧ C 5 51°, BC ∧ A 5 88°c) QP ∧ R 5 66°, PQ ∧ R 5 47°, PQ 5 5.6 cmd) YX ∧ Z 5 53°, XY ∧ Z 5 68°, XZ ∧ Y 5 59°9 82°, 60°, 38°10 a) 60° b) 67°11 a) (i) y1y sin θθ180° 120° 60° 0 60° 120° 180° θy tan θ11(ii) Approximately 2117° and 63°e) (i) 3, 360° (ii) 1, 72° (iii) 3, 90°(iv) 4, 720° (v) 5, 540° (vi) 2, 450°(vii) 5, 120° (viii) 2, 600°f) (i) y3y 3 sin θ(ii)210123y10130° 60° 90° 120° 150° 180° θy cos 4θ60° 120° 180° θ060° 120° 180° 240° 300° 360°θ(iii)y32y 3 cos 2θ1(ii) Approximately 44° and 136°b) (i)y1y cos θ101260° 120° 180° 240° 300° 360°θ3180° 120° 60° 0 60° 120° 180° θ1(ii) Approximately 2107° and 107°c) 233°, 487°, 593°Higher WJEC GCSE Mathematics © 2010, Hodder EducationAnswers to the Student’s Book exercises 231
Page 1 and 2: AnSWErS to tHE StudEnt’SBook ExEr
Page 3 and 4: Chapter 3Exercise 3.1 (page 47)1 a)
Page 5 and 6: Chapter 5Exercise 5.1 (page 73)1 5
Page 7 and 8: 4 a) 0.722 b) 1.26 c) 20.6495 a) 33
Page 9 and 10: Chapter 11Exercise 11.1 (page 144)x
Page 11 and 12: 2345y 3y4321R3 2 1 0 1 2 3 41y 2x
Page 13 and 14: 4 a) x 22 21 0 1 2 3 4 5x 2 4 1 0 1
Page 15 and 16: 10 a)x 22 21 0 1 2 3 4x 2 4 1 0 1 4
Page 17 and 18: 3 The velocity increases from 0 m/s
Page 19 and 20: 7 a)y302826242220181614121086420y
Page 21 and 22: 5 a) y 5 ___ 24xb) 486 a) d 5 ____
Page 23 and 24: Chapter 21Exercise 21.1 (page 283)1
Page 25 and 26: (x 2 np)2k) q 5 _________ l) x 5 6
Page 27 and 28: Mixed exercise 25 (page 328)1 a)c)2
Page 29 and 30: Exercise 27.5 (page 362)1 a) (5, 3,
Page 31 and 32: 6 a) A reflection in the line y 5 0
Page 33 and 34: 3 Scale 1 cm 5 10 mHedge2 Scale 1 c
Page 35 and 36: 7 163.4 cm (1 d.p.)8 14.8 cm (1 d.p
Page 37: Chapter 32All answers are given cor
Page 41 and 42: 2 a) (1, 8)b) 233 y1210CD8 A B64D C
Page 43 and 44: 6 A7DCEBAD 5 AB, DE 5 DB and AE is
Page 45 and 46: 4 a)Mark50403020100400 500 600Circu
Page 47 and 48: Exercise 42.2 (page 568)1 a)First d
Page 49 and 50: 7 a)First discSecond discOutcomePro
Page 51 and 52: 2 a) You are aged 19 up until your
Page 53: 15 23 (because 0 is in the sequence

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