Question

calcule a 1ª determinação positiva dos arcos congrus:
a) 930°
b) 1550°
c) 23/6 π rad
d) 17/3 π rad
e) 13/2 π rad
f) 2600 °
g) -1200°
h) -16/3 π rad
i) -2700°
j) -18/5 π rad​

Answer 1

a)

930°|360°

210° 2

$\boxed{\boxed{\mathsf{210^{\circ}}}}$

b)

1550°|360°

110° 4

$\boxed{\boxed{\mathsf{110^{\circ}}}}$

c)

$\mathsf{\dfrac{23\pi}{6}=\dfrac{12\pi}{6}+\dfrac{11\pi}{6}=2\pi+\bf{\dfrac{11\pi}{6}}}$

d)

$\mathsf{\dfrac{17\pi}{3}=2.2\pi+\bf{\dfrac{5\pi}{3}}}$

e)

$\mathsf{\dfrac{13\pi}{2}=3.2\pi+\bf{\dfrac{\pi}{2}}}$

f)

2600°|360°

80 7

$\boxed{\boxed{\mathsf{80^{\circ}}}}$

g)

1200°|360

120° 3

-1200°=-120+3.(-360°)

1ª determinação positiva:

$\boxed{\boxed{\mathsf{360^{\circ}-120^{\circ}=240^{\circ}}}}$

h)

$\mathsf{-\dfrac{16\pi}{3}=2.(-2\pi)-\dfrac{4\pi}{3}}$

1ª determinação positiva:

$\boxed{\boxed{\mathsf{2\pi-\dfrac{4\pi}{3}=\dfrac{2\pi}{3}}}}$

i)

2700°|360

180° 7

-2700°=-180+7.(-360°)

1ª determinação positiva:

$\boxed{\boxed{\mathsf{360^{\circ}-180^{\circ}=180^{\circ}}}}$

j)

$\mathsf{-\dfrac{18\pi}{5}=-1.(2\pi)-\dfrac{8\pi}{5}}$

1ª determinação positiva:

$\boxed{\boxed{\mathsf{2\pi-\dfrac{8\pi}{5}=\dfrac{2\pi}{5}}}}$