Teacher's Guide - Pearson

Exercise 8.2 (Student’s Book page 146)1. a)___ ACAB ​, ___ ​ CBAB ​, ___ ​ ACCB___ NTKT ​, ___ ​ KNKT ​, ___ ​ NTKNb)___ FEHE ​, ___ ​ HFHE ​, ___ ​ FEHF ​ c) ____ XYWY ​, ____ ​ WXWY ​, ____ ​ XYWX___ SUST ​ or ___ ​ TUST ​, ___ ​ SUST ​ or ___ ​ TUST ​, ___ ​ SUTU ​d)e)2 a) sin/ 5 ​3__5 ​, cos/ 5 ​ 4__5 ​, tan/ 5 ​ 3__4 ​ b) sin/ 5 ___ ​ 1213 ​, cos/ 5 ___ ​ 513 ​, tan/ 5 ___ ​ 125 ​c) sin/ 5 ___ ​1​√ ​, cos/ 5 ___ ​12 ​ ​√ ​, tan/ 5 1 d) sin/ 5 ​4__2 ​5 ​, cos/ 5 ​ 3__5 ​, tan/ 5 ​ 4__3 ​e) sin/ 5 ___ 15​17 ​, cos/ 5 ___ ​ 817 ​, tan/ 5 ___ ​ 158 ​3. There are alternative answers such as the following :a) BC 5 10 sin A, BC 5 6 cos B, BC 5 6 tan Ab) EF 5 13 cos G, EF 5 5 tan G, EF 5 13 cos Fc) KL 5 ____ ​√__ 3 ​sin k ​Exercise 8.3 (Student’s Book page 150)1. a) 22.6˚ b) 29˚ c) 60˚ d) 20.9˚ e) 61˚ f) 77˚2. a) 1.33 b) 0.74 c) 0.866 d) 1 e) 0.60 f) 0.213. a) 6.69 b) 4.62 c) 2.65 d) 11.2 e) 5.36 f) 12.8g) 6.39 h) 6 i) 11.7Extension Activity 8.1 (Student’s Book page 151)/BAD = 97.6°Activity 8.4 (Student’s Book page 151)1. 2. Yes 3. 30˚1 250 m625 mExercise 8.4 (Student’s Book page 152)1. 4.3 cm 2. 4.3 m 3. a) 4.56 m b) 37.9°Extension Activity 8.2 (Student’s Book page 153)1. cos 60˚ 5 ___ BC​8 ​BC 5 8 cos 60˚5 4BD 5 ​√ _______4 2 1 4 2 ​5 5.66 m46 EXPLORING MATHEMATICS FORM 3