Page 4 - Matematik Tam_Modul A+_Pan Asia Publications

1.1 Radian Buku Teks
Radian m.s. 2-4

1. Tukarkan setiap sudut dalam darjah yang berikut kepada radian.
Convert the following angles in degrees to radians. TP 1

(a) 75° (b) 230°
Contoh/Example q = 75° × π q = 230° × π
SP 1.1.1 150° π = 1.31 rad = 4.01 rad 180°
180°
q = 150° ×
= 2.62 rad 180°

©PAN ASIA PUBLICATIONS
(c) 315° 15′ (d) 41° (e) 175° 30′

q = 315.25° × π q = 41° × π q = 175° 30′ × π
180° 180° 180°
= 5.50 rad = 0.72 rad = 3.06 rad

(f) 85° 10′ (g) 178° 20′ (h) 228° 48′

q = 85.167° × π q = 178.333° × π q = 228.8° × π
180° 180° 180°
= 1.49 rad = 3.11 rad = 3.99 rad

2. Tukarkan sudut dalam radian yang berikut kepada sudut dalam darjah.
Convert the following angles in radians to degrees. TP 1

Contoh/Example (a) 0.5 rad (b) 1.3 rad
= 0.5 × 180° = 1.3 × 180°
2.1 rad π π
= 28° 38′ = 74° 29′
q ° = 2.1 × 180°
π
= 120° 19′

(c) 1.8π rad (d) 2 π rad (e) 1 π rad
= 1.8π × 180° 5 3
π = 2 π × 180° = 1 π × 180°
= 324° 5 π 3 π
= 72° = 60°

(f) π rad (g) 2.5 rad (h) 4 π rad
2 = 2.5 × 180° 5
= π × 180° π = 4 π × 180°
2 π = 143° 14′ 5 π
= 90° = 144°

2

01 ModulA+ MateTambahan Tg5.indd 2 10/30/20 10:02 AM