1.efetue es operações:
a)π /3 + π
b) π - π /3
c)2 π - π
d) π /4 + π
e) π - π /4
f) 2π - π/3
g) π /6 + π
h) π - π /6
i) 2 π - π /6
2.transforme de radianos para graus os resultados obtidos no exercício 1
Soluções para a tarefa
Resposta:
1)a) 4π/3
b) 2π/3
c) π
d) 5π/4
e) 3π/4
f) 5π/3
g) 7π/6
h) 5π/6
i) 11π/6
2)a) 240°
b) 120°
c) 180°
d) 225°
e) 135°
f) 300°
g) 210°
h) 150°
i) 330°
Explicação passo-a-passo:
π = 180°
1)a) π/3 + π = π + 3π = 4π/3
3
b) π - π/3 = 3π - π = 2π/3
3
c) 2π - π = π
d) π/4 + π = π + 4π = 5π/4
4
e) π - π/4 = 4π - π = 3π/4
4
f) 2π - π/3 = 6π - π = 5π/3
3
g) π/6 + π = π + 6π = 7π/6
6
h) π - π/6 = 6π - π = 5π/6
6
i) 2π - π/6 = 12π - π = 11π/6
6
2)a) π/3 + π = 180/3 + 180 =
60 + 180 = 240°
b) π - π/3 = 180 - 180/3 =
180 - 60 = 120°
c) 2π - π = 2.180 - 180 =
360 - 180 = 180°
d) π/4 + π = 180/4 + 180 =
45 + 180 = 225°
e) π - π/4 = 180 - 180/4 =
180 - 45 = 135°
f) 2π - π/3 = 2.180 - 180/3 =
360 - 60 = 300°
g) π/6 + π = 180/6 + 180 =
30 + 180 = 210°
h) π - π/6 = 180 - 180/6 =
180 - 30 = 150°
i) 2π - π/6 = 2.180 - 180/6 =
360 - 30 = 330°