Page 33 - Hybrid PBD 2022 Form 5 - Mathematics

Matematik Tingkatan 5 Bab 6 Nisbah dan Graf Fungsi Trigonometri

1. Tentukan nilai bagi α. SP 6.1.1 TP1
Find the value of α.

(a) y (b) (c) y
y y
200°
317° α 133°
x α O x x O α x
O α O 343°

α = 360° − 317° α = 200° − 180° α = 180° − 133° α = 360° − 343°
= 43° = 20° = 47° = 17°

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2. Dengan menggunakan fungsi trigonometri berikut, nyatakan hubungannya dengan sudut rujukan yang
sesuai. SP 6.1.1 TP1
Using the following trigonometric functions, state its relationship with its corresponding reference angle.

(a) kos 245° (b) tan 340°
sin 158° cos 245°

Sudut 158° terletak di sukuan II. Sudut 340° terletak di sukuan IV.
Angle 158° is located in quadrant II. Sudut 245° terletak di sukuan III. Angle 340° is located in quadrant IV.
sin q = sin (180° − q) Angle 245° is located in quadrant III. tan q = −tan (360° − q)
sin 158° = sin (180° − 158°) kos q = −kos (q − 180°) tan 340° = −tan (360° − 340°)
sin 158° = sin 22° kos 245° = −kos (245° − 180°) tan 340° = −tan 20°
kos 245° = −kos 65°
cos q = −cos (q − 180°)
cos 245° = −cos (245° − 180°)
cos 245° = −cos 65°

3. Setiap rajah berikut menunjukkan satu bulatan unit dengan sudut q. Nyatakan nilai bagi sin q, kos q dan
tan q. SP 6.1.1 TP1
Each of the following diagrams shows a unit circle and angle q. Determine the values of sin q, cos q and tan q.

(a) y
y
(0.3907, 0.9205)
θ
θ x
O x O
(–0.7986, –0.6018)

sin q = 0.9205
sin q = –0.6018
kos q = 0.3907
cos q kos q = –0.7986
cos q
0.9205
tan q = –0.6018
0.3907 tan q =
= 2.3560 –0.7986
= 0.7536

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06 Hybrid PBD Mate Tg5.indd 125 28/09/2021 5:15 PM