Question

ATIVIDADE
1) Encontre a menor determinação positiva dos
arcos abaixo.
a) 390°
b) 450°
c) 900°
d) 1.280°
1711
rad
6
f) - 810°

Answer 1

$\large\boxed{\begin{array}{l}\rm a)~390^\circ|\underline{360^\circ}\\\rm\,\,-\underline{360^\circ}~1\\\rm~~~~ 30^\circ\\\rm 1^a~determinac_{\!\!,}\tilde ao~positiva:30^\circ\end{array}}$

$\large\boxed{\begin{array}{l}\rm b)~450^\circ|\underline{360^\circ}\\\rm\,\,\,-\underline{360^\circ}~1\\\rm~~~~~90^\circ\\\rm1^a~determinac_{\!\!,}\tilde ao~positiva:90^\circ\end{array}}$

$\large\boxed{\begin{array}{l}\rm c)~900^\circ|\underline{360^\circ}\\\rm\,\,-\underline{720^\circ}~2\\\rm~~~180^\circ\\\rm 1^a~determinac _{\!\!,}\tilde ao~positiva:180^\circ\end{array}}$

$\large\boxed{\begin{array}{l}\rm d)~\dfrac{17\pi}{6}=\dfrac{12\pi}{6}+\dfrac{5\pi}{6}=2\pi+\dfrac{5\pi}{6}\\\\\rm 1^a~determinac_{\!\!,}\tilde ao~positiva:\dfrac{5\pi}{6}\,rad\end{array}}$

$\large\boxed{\begin{array}{l} \rm f)~810^\circ|\underline{360^\circ}\\\rm\,\,-\underline{720^\circ}~~2\\\rm ~~~~~90^\circ\\\rm -810^\circ=-2\cdot360^\circ-90^\circ\\\rm 360^\circ-90^\circ=270^\circ\\\rm 1^a~determinac_{\!\!,}\tilde ao~positiva:270^\circ\end{array}}$