Question

ME AJUDEM!! (50 PTS)

Answer 1

Resposta:

Explicação passo-a-passo:

Para transformar um ângulo de graus para radianos basta multiplicá-lo por $\pi$ e dividi-lo por $180^{\circ}$

a) $125^{\circ}=\dfrac{125\pi}{180}=\dfrac{25\pi}{36}~\text{rad}$

b) $5^{\circ}45'36"=5^{\circ}0,75^{\circ}0,6'=5,75^{\circ}0,01^{\circ}=5,76^{\circ}=\dfrac{5,76\pi}{180}=\dfrac{576\pi}{18000}=\dfrac{4\pi}{125}~\text{rad}$

c) $15^{\circ}=\dfrac{15\pi}{180}=\dfrac{\pi}{12}~\text{rad}$

d) $90^{\circ}=\dfrac{90\pi}{180}=\dfrac{\pi}{2}~\text{rad}$

Para transformar um ângulo de radianos para graus basta multiplicá-lo por $180^{\circ}$ e dividi-lo por $\pi$

a) $\dfrac{\pi}{3}=\dfrac{180}{3}=60^{\circ}$

b) $\dfrac{\pi}{4}=\dfrac{180}{4}=45^{\circ}$

c) $\dfrac{893\pi}{1800}=\dfrac{180\cdot893}{1800}=\dfrac{893}{10}=89,3^{\circ}$

d) $\dfrac{\pi}{6}=\dfrac{180}{6}=30^{\circ}$

Answer 2

Resposta:

Explicação passo-a-passo:

2)

a) 125° =125π/180=25π/36 rad

b) 5°45'36'' = 5+45/60+36/3600=5,76° =5,76π/180=4π/125 rad

c) 15° = 15π/180=π/12 rad

d) 90° = π rad

3)

a) π/3 rad =180/3=60°

b) π/4 rad=180/4=45°

c) 893π/1800 rad=893.180/1800=89,3°=89°+60.0,3'=89°18'

d) π/6=180/6=30°