Question

Expresse em radianos
a)30°
b)15°
c)120°
d) 210°
e) 270°
f)300°
g)20°
h) 150°
i)315°

Answer 1

Explicação passo-a-passo:

a) π rad ------- 180⁰

x -------------- 30⁰

180⁰x=30⁰π

x=30⁰π÷30/180÷30

x=π/6

b) π rad ------- 180⁰

x ----------------- 15⁰

180⁰x=15⁰π

x=15⁰π÷15/180⁰÷15

x=π/12

c) π rad ---------- 180⁰

x -------------------- 120⁰

180⁰x=120⁰π

x=120⁰π÷60/180⁰÷60

x=2π/3

d) π rad ---------- 180⁰

x ------------------- 210⁰

180⁰x=210⁰π

x=210⁰π÷30/180⁰÷30

x=7π/6

e) π rad ------------ 180⁰

x -------------------- 270⁰

180⁰x=270⁰π

x=270⁰π÷90/180⁰÷90

x=3π/2

f) π rad ----------- 180⁰

x ----------------- 300⁰

180⁰x=300⁰π

x=300⁰π÷60/180⁰÷60

x=5π/3

g) π rad ---------- 180⁰

x ------------------- 20⁰

180⁰x=20⁰π

x=20⁰π÷20/180⁰÷20

x=π/9

h) π rad ---------- 180⁰

x ---------------- 150⁰

180⁰x=150⁰π

x=150⁰π÷30/180⁰÷30

x=5π/6

i) π rad --------- 180⁰

x ---------------- 315⁰

180⁰x=315⁰π

x=315⁰π÷45/180⁰÷45

x=7π/4