Page 34 - Hybrid PBD 2022 Form 5 - Mathematics

Matematik Tingkatan 5 Bab 6 Nisbah dan Graf Fungsi Trigonometri
4. Tentukan nilai bagi setiap yang berikut berdasarkan sudut rujukan sepadan. SP 6.1.2 TP2
Determine the value for each of the following based on the corresponding reference angle.

(a) sin 325° (b) tan 265°
214° terletak di
kos 214° sukuan III
cos 214° 214° is located in sin 325° = −sin (360° − 325°) tan 265° = tan (265° − 180°)
quadrant III
= −sin 35° = tan 85°
kos 214° = −kos (214° − 180°) = −0.5736 = 11.4301
= −kos 34°
= −0.8290
cos 214° = −cos (214° − 180°)
= −cos 34°
= −0.8290
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(c) kos 278° (d) sin 222° (e) tan 122°
cos 278°
sin 222° = –sin (222° − 180°) tan 122° = –tan (180° − 122°)
kos 278° = kos (360° − 278°) = −sin 42° = –tan 58°
= kos 82° =−0.6691 = −1.6003
= 0.1392
cos 278° = cos (360° − 278°)
= cos 82°
= 0.1392

5. Tanpa menggunakan kalkulator, tentukan nilai bagi setiap yang berikut. SP 6.1.2 TP2
Without using a calculator, determine the value of each of the following.
(a) kos 135° (b) tan 240°
330° terletak di
sin 330° sukuan IV cos 135°
330° is located in tan 240° = tan (240° − 180°)
quadrant IV
kos 135° = –kos (180° − 135°) = tan 60°
sin 330° = −sin (360° − 330°) = –kos 45° = √3
= –sin 30° = – 1
1 √2
= − cos 135° = –cos (180° − 135°)
2
= –cos 45°
1
= –
√2

6. Tentukan sudut bagi nilai sinus, kosinus dan tangen yang diberi. SP 6.1.3 TP3
Determine the angles for the values of sine, cosine and tangent that are given.

(a) kos q/cos q = −0.4528 (b) tan q = −1.4656
sin q = 0.5578 dan/and 0° < q < 360° dan/and 0° < q < 360°
dan/and 0° < q < 360°
Sudut rujukan/Reference angle Sudut rujukan/Reference angle
sin q bernilai positif
Sudut rujukan di sukuan I dan II = kos 0.4528 = tan 1.4656
−1
−1
−1
Reference angle sin q is positive in cos 0.4528 = 55.7°
= sin 0.5578 quadrant I and II = 63.1°
−1
= 33.9° q = (180° − 55.7°), (360° − 55.7°)
q = (180° − 63.1°), (180° + 63.1°) = 124.3°, 304.3°
q = 33.9° atau/or (180° − 33.9°) = 116.9°, 243.1°
= 33.9° atau/or 146.1°

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