Question

ayudenme xfa es un examen:(​

Answer 1

Convertir a grados:

1) 3π/4

Resolvamos:

$\frac{3\pi}{4}\times\frac{180}{\pi} = \frac{(3\times180)\pi}{4\times\pi} = \frac{540\pi}{4\pi} = 135$

Por lo tanto, 3π/4 radian a grados es 135°

2) π/6

Resolvamos:

$\frac{\pi}{6}\times\frac{180}{\pi} = \frac{180\times\pi}{6\times\pi} = \frac{180\pi}{6\pi} = 30$

Por lo tanto, π/6 radian a grados es 30°

3) 2π/3

Resolvamos:

$\frac{2\pi}{3}\times\frac{180}{\pi} = \frac{(2\times180)\pi}{3\times\pi} = \frac{360\pi}{3\pi} = 120$

Por lo tanto, 2π/3 radian a grados es 120°

4) π/2

Resolvamos:

$\frac{\pi}{2}\times\frac{180}{\pi} = \frac{180\times\pi}{2\times\pi} = \frac{180\pi}{2\pi} = 90$

Por lo tanto, π/2 radian a grados es 90°

Convierte a radian

1) 120°

Resolvamos:

$120\times\frac{\pi}{180} = \frac{120\pi}{180} = \frac{2\pi}{3}$

Por lo tanto, 120 grados a radian es 2π/3 rad

2) 240°

Resolvamos:

$240\times\frac{\pi}{180} = \frac{240\pi}{180} = \frac{4\pi}{3}$

Por lo tanto, 240 grados a radian es 4π/3 rad

3) 150°

Resolvamos:

$150\times\frac{\pi}{180} = \frac{150\pi}{180} = \frac{5\pi}{6}$

Por lo tanto, 150 grados a radian es 5π/6 rad

4) 210°

Resolvamos:

$210\times\frac{\pi}{180} = \frac{210\pi}{180} = \frac{7\pi}{6}$

Por lo tanto, 210 grados a radian es 7π/6 rad