Question

23. Converta em radianos:
a) 90°
e) 330°
c) 300°
d) 210°
b) 120°
f) 2°​

Answer 1

a) 90° = 90π/180 :(90/90) = π/2

e) 330° = 330π/180 :(30/30) = 11π/6

c) 300° =300π/180 :(60/60) = 5π/3

d) 210° = 210π/180 = 21π/18= 7π/6

b) 120°= 120π/180= 12π/18 = 2π/3

f) 2° = 2π/180 = π/90

Answer 2

Resposta:

a) $\frac{\pi }{2}$

b) $\frac{2\pi }{3}$

c) $\frac{5\pi }{3}$

d) $\frac{7\pi }{6}$

e) $\frac{11\pi }{6}$

f) $\frac{\pi }{90}$

Explicação passo-a-passo:

a) 90º×$\frac{\pi }{180}$ $= \frac{\pi }{2}$

b) 120º×$\frac{\pi }{180}$ $=\frac{2\pi }{3}$

c) 300º×$\frac{\pi }{180}$ $=\frac{5\pi }{3}$

d) 210º×$\frac{\pi }{180}$ $=\frac{7\pi }{6}$

e) 330º×$\frac{\pi }{180}$ $=\frac{11\pi }{6}$

f) 2º×$\frac{\pi }{180}$ $=\frac{\pi }{90}$