Question

Alguém pode me ajudar???

Answer 1

Resposta:

Abaixo.

Explicação passo a passo:

Graus para radianos

a) 700

360° - 2π rad

700° - x rad

x = 700x2π/360 = 1.400π/360 rad = 35π/9 rad

b) 350 = 700π/360 = 35π/18 rad

c) 270 = 540π/360 = 3π/2 rad

d) 180 = 360π/360 = π rad

e) 310 = 620π/360 = 31π/18 rad

f) 870 = 1740π/360 = 29π/6 rad

g) 750 = 1500π/360 = 25π/6 rad

h) 440 = 880π/360 = 22π/9 rad

i) 60 = 120π/360 = π/3 rad

j) 75 = 150π/360 = 5π/12 rad

Radianos para graus

a) 3π/6 rad

2π rad =360°

3π/6 rad = x

x = 360.3π/12π = 360.3/12 = 90°

b) 12π/5 rad

2π rad = 360°

12π/5 rad = x

x = 360.12π/10π = 432°

c) 7π/8 rad = 360.7π/16π = 157,5° = 156 ° 65' = 156° 1' 5''

d) 9π/4 rad = 360.9π/8π = 405°

e) 2π/6 rad = 360.2π/12π = 60°

f) 12π/7 rad = 360.12π/14π = 308,57° = 307° 117' = 307° 1' 57''

g) 10π/6 rad = 360.10π/12π = 300°

h) π/5 rad = 36°

i) 7π rad = 1260°

j) 9 π rad = 1620°