Page 299 - Matematik Tambahan Tingkatan 5 KSSM

(b) y 1 5 1 5 9 13
(c) z = π rad, π rad
6 6 (d) A = π, π, π, 8 π
8
8
8
2 1 5 13 17
(e) B = π, π, π, π
12
12
12
12
1 13 17 25 29
x (f) x = 12 π, 12 π, 12 π, 12 π
0 � 2� � 4� 5� 2�
−1 — — — — Latihan Kendiri 6.11
3
3
3
3
−2 1. 550 kmj –1 2. 0.7071, − 0.7071
3. (a) 1.5 (b) 0.8 (c) 0.3182
KEMENTERIAN PENDIDIKAN MALAYSIA
Bilangan penyelesaian = 3
a = 38.66°, b = 17.65°, ˙BAC = 33.69°,
Latihan Kendiri 6.6 ˙ADB = 128.66°, ˙BDC = 51.34°, BD = 12.81 cm,
1 AB = 18.03 cm
1. (a) 1 (b) 1 (c) 2 (d) 1
1 m 2 Latihan Formatif 6.6
2. (a) 2 (b) 1 – m 2 (c)
m 1 – m 2 1. (a) x = 130°, 250°
3. sin q = 3 ; kos q = 1 (b) 64.27°, 140.13°, 219.87°, 295.73°
! 10 ! 10 (c) 126.87°, 306.87°
2
p 2 q – p 2 – p 2 1 1 5
4. (a) (b) (c) 2. (a) A = 0, π, π, π, π
q 2 p 2 q – p 2 6 2 6
2
(b) A = 0 rad, 0.2852π rad, π rad
6.4
Latihan Formatif 3. q = 60°, 120°, 240°, 300°
1 p – 1 5. (a) – 8 (b) – 240 (c) 240
1. (a) p – 1 (b) (c) 17 289 161
p p
2. (a) 1 (b) −1 (c) 4 (d) 2 6. (a) sin ∠CAD = 24! 3 – 7 , kos ∠CAD = 24 + 7! 3 ,
4. (b) 1.5626 50 50
24! 3 – 7
Latihan Kendiri 6.8 tan ∠CAD =
24 + 7! 3
! 6 – ! 2 4 ! 3 + 1
2. (a) (b) (c) (b) AC = 25 m, AD = 48 m
4 ! 6 + ! 2 ! 3 – 1 ! t – 1 ! t – 1
2
2
2
3. (a) – 33 (b) – 16 (c) – 56 8. (a) t (b) – t (c) – ! t – 1
65 65 33
9. (a) 1 < f (x) < 2
Latihan Kendiri 6.9 (b)
! 3 ! 3 y
1. (a) (b) (c) – ! 3
2 2 3
4. (a) 25 (b) 169 (c) 1 (d) 5 2
24 119 ! 5 1
6.5 x
Latihan Formatif 0 � � 3� 2�
4
4 — —
2
1.
3
416 425 297 Bilangan penyelesaian = 1
3. (a) (b) (c) –
425 297 304 Latihan Sumatif
289 3
(d) – (e) –
161 ! 34 1. (a) 0 < x < 2π (b) –π < x < π 2 (c) 3 2 π < x < 4π
5. (a) 2t (b) 1 – t 2 (c) 2t 2. (a) 0 , x , π (b) π , x , π (c) π , x , 2π
2
2
1 + t 2 1 + t 2 1 – t 2 3. (a) 41.30°, 138.70°, 221.30°, 318.70°
2
! 1 + t – 1 1 + ! 1 + t 2
(d) (e) (b) 63.90°, 116.10°, 243. 90°, 296.10°
2! 1 + t 2 2! 1 + t 2 (c) 41.36°, 138.64°, 221.36°, 318.64°
Latihan Kendiri 6.10 ! 3 2
4. (a) – (b) –! 3 (c)
1. (a) x = 102.8°, 167.2°, 282.8°, 347.2° 2 ! 3
1
(b) x = 10°, 130°, 190°, 310° (d) ∞ (e) –1 (f) –
(c) x = 198° 2
,
(d) x = 0°, 44.42°, 180°, 315.58°, 360° 5. (a) 56 63 (b) 56 , – 63 (c) 56 , – 63
65
(e) x = 90°, 199.47°, 340.53° 6. 65 16 16 65 16
(f) x = 150°, 330° Bilangan Selang
(g) x = 199.47°, 340.53° Graf Persamaan kitaran Kala kelas
(h) x = 0°, 80.41°, 180°, 279.59°, 360° π
(i) x = 16.10°, 196.10° I y = kos x 1 2π 2
7 3 19 7
2. (a) x = π, π, π, π π
12 4 12 4 II y = kos 2x 2 π 4
(b) y = 0 rad , 0.2677π rad, π rad, 1.732π rad dan 2π rad 1 1
III y = kos x 4π π
2 2
289