Question

3)converta em radianos:
a)90°=
b)135°=
c)240°=
4)converta em graus
a)5Π
__rad=
6
b)3Π
___
8

não achei o sinal correto por isso coloquei este (Π)

Answer 1

3)converta em radianos:
a)90°

180 = π
90 = x

180/90 = π x
18/9 = π/x
2 = π/x
2x = π
x = π/2

b)135°
135 = x
180 = π

135/180 (:45)/(:45)= x/π
3/4 = x/π
3π = 4x
4x = 3π
X = 3π/4


c)240°
180 = π
240 = x

18/24 (:6)/(:6) = π/x
3/4 = π/x
3x = 4π
x = 4π/3

4)converta em graus
a)5Π
__rad=
6

π = 180
5π/6 = x

Xπ = 180.5π/6
Xπ = π.30.5
X = 150°

b)
3Π
___
8

π RAD = 180
3π/8 = x
X π = 3π.180/8
X = 3.180/8
x = 540/8 (:4)/(:4)
x = 135/2
x = 67,5°