Question

1°) calcule a primeira determinação positiva de um arco de:

A) 2370°

B) -2070

C) 31π/2​

Answer 1

2370°| 360°

210° 6

$\sf{\alpha=210^{\circ}+k\cdot360^{\circ}~k\in\mathbb{Z}}$

b)

2070|360

270° 5

-2070°=5×(-360)-270°

360°-270°=90°

$\sf{\alpha=90^{\circ}+k\cdot360^{\circ}~k\in\mathbb{Z}}$

c)

$\sf{\dfrac{31\pi}{2}=\dfrac{28\pi}{2}+\dfrac{3\pi}{2}}\\\sf{14\pi+\dfrac{3\pi}{2}=+7\cdot2\pi+\dfrac{3\pi}{2}}$

$\sf{\alpha=\dfrac{3\pi}{2}+2k\pi~k\in\mathbb{Z}}$