Page 5 - Modul A+1 Matematik Tambahan Tingkatan 5

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

1. Tukarkan setiap sudut dalam darjah yang berikut kepada radian.
Convert each of the following angles in degrees into radians. TP 1
BAB 1 Contoh/Example (a) 75° (b) 230°

π
π
150° q = 75° × 180° q = 230° × 180°
q = 150° × π = 1.31 rad = 4.01 rad
180°
= 2.62 rad
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(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 setiap sudut dalam radian yang berikut kepada darjah.
Convert each of the following angles in radians into degrees. TP 1

Contoh/Example (a) 0.5 rad (b) 1.3 rad
q° = 0.5 × 180° q° = 1.3 × 180°
2.1 rad π π
= 28° 39′ = 74° 29′
q ° = 2.1 × 180°
π
= 120° 19′

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

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

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