Convertir a grados:
1) 3π/4
Resolvamos:
[tex]\frac{3\pi}{4}\times\frac{180}{\pi} = \frac{(3\times180)\pi}{4\times\pi} = \frac{540\pi}{4\pi} = 135[/tex]
Por lo tanto, 3π/4 radian a grados es 135°
2) π/6
Resolvamos:
[tex]\frac{\pi}{6}\times\frac{180}{\pi} = \frac{180\times\pi}{6\times\pi} = \frac{180\pi}{6\pi} = 30[/tex]
Por lo tanto, π/6 radian a grados es 30°
3) 2π/3
Resolvamos:
[tex]\frac{2\pi}{3}\times\frac{180}{\pi} = \frac{(2\times180)\pi}{3\times\pi} = \frac{360\pi}{3\pi} = 120[/tex]
Por lo tanto, 2π/3 radian a grados es 120°
4) π/2
Resolvamos:
[tex]\frac{\pi}{2}\times\frac{180}{\pi} = \frac{180\times\pi}{2\times\pi} = \frac{180\pi}{2\pi} = 90[/tex]
Por lo tanto, π/2 radian a grados es 90°
Convierte a radian
1) 120°
Resolvamos:
[tex]120\times\frac{\pi}{180} = \frac{120\pi}{180} = \frac{2\pi}{3}[/tex]
Por lo tanto, 120 grados a radian es 2π/3 rad
2) 240°
Resolvamos:
[tex]240\times\frac{\pi}{180} = \frac{240\pi}{180} = \frac{4\pi}{3}[/tex]
Por lo tanto, 240 grados a radian es 4π/3 rad
3) 150°
Resolvamos:
[tex]150\times\frac{\pi}{180} = \frac{150\pi}{180} = \frac{5\pi}{6}[/tex]
Por lo tanto, 150 grados a radian es 5π/6 rad
4) 210°
Resolvamos:
[tex]210\times\frac{\pi}{180} = \frac{210\pi}{180} = \frac{7\pi}{6}[/tex]
Por lo tanto, 210 grados a radian es 7π/6 rad
