Question

Expresse em graus no caderno:

a) π/6 rad
b) π/2 rad
c) π/4 rad
d) 5π/6 rad
e) 5π/4 rad
f) 4π/3 rad

Answer 1

Resposta:

Explicação passo-a-passo:

Substituir o valor de π por 180º:

$a) ~\dfrac{\pi }{6} rad~ = ~ \dfrac{180}{6} ~= ~30^o \\ \\ \\b) ~\dfrac{\pi }{2} rad~ = ~ \dfrac{180}{2} ~= ~90^o \\ \\ \\c)~ \dfrac{\pi }{4} rad~ = ~ \dfrac{180}{4} ~= ~45^o \\ \\ \\\d) ~ \dfrac{5\pi }{6} rad~ = ~ \dfrac{5 . 180}{6} ~= ~\dfrac{900}{6} ~= ~150^o \\ \\ \\e)~\dfrac{5\pi }{4} rad~ = ~ \dfrac{5 . 180}{4} ~= ~\dfrac{900}{4} ~= ~225^o \\ \\ \\f)~ \dfrac{4\pi }{3} rad~ = ~ \dfrac{4 . 180}{3} ~= ~\dfrac{720}{4} ~= ~240^o$