Question

1) Converta para radianos os seguintes ângulos:
a) 30°
b) 50°
c) 120°
d) 220°

2) Converta para graus os seguintes ângulos:
a) π/4 rad
b) 3π/4 rad
c) 7π/6 rad

3) Calcule:
a) sen π/6
b) cos 7π/6
c) sen 3π/2

Answer 1

1. a) 30° = 30° . π/180° = π/6

b) 50° = 50° . π/180° = 5 . π/18 = 5π/18

c) 120° = 120° . π/180° = 2 . π/3 = 2π/3

d) 220° = 220° . π/180° = 11 . π/9 = 11π/9

2. a) π/4 = π/4 . 180°/π = 1/4 . 180° = 45°

b) 3π/4 = 3π/4 . 180°/π = 3/4 . 180° = 3 . 45° = 135°

c) 7π/6 = 7π/6 . 180°/π = 7/6 . 180° = 7 . 30° = 210°

3. a) sin(π/6) = 1/2 = 0,5

b) cos(7π/6) = - √3/2 ≊ - 0,866025...

c) sin(3π/2) = - 1

Att. NLE Top Shotta