Question

por favor me ajudem sério por favor.... ​

Answer 1

Resposta:

Para converter radianos em graus basta multiplicar por:

$\frac{180°}{\pi}$

Tendo em vista isso, podemos prosseguir com a resolução:

a)

$\frac{5\pi}{6} \times \frac{180°}{\pi}$

$= \frac{5}{6} \times 180°$

$\frac{5\pi}{6} = 150°$

b)

$\frac{\pi}{6} \times \frac{180°}{\pi}$

$\frac{\pi}{6} = 30°$

c)

$\frac{\pi}{3} \times \frac{180}{\pi}$

$\frac{\pi}{3} = 60°$

d)

$\frac{5\pi}{ 3} \times \frac{180°}{\pi}$

$= \frac{5}{3} \times 180°$

$\frac{5\pi}{ 3} = 300°$

e)

$\frac{3\pi}{4} \times \frac{180°}{\pi}$

$= \frac{3}{4} \times 180 °$

$\frac{3\pi}{4} = 135°$

f)

$\frac{9\pi}{4} \times \frac{180°}{\pi}$

$= \frac{9}{4} \times 180°$

$\frac{9\pi}{4} = 405°$

g)

$\frac{3\pi}{2} \times \frac{180°}{\pi}$

$= \frac{3}{2} \times 180°$

$\frac{ 3\pi}{2} = 270°$

h)

$\frac{7\pi}{4} \times \frac{180°}{\pi}$

$= \frac{7}{4} \times 180°$

$\frac{7\pi}{4} = 315°$