Question

05. Encontrem a 1º determinação, ou seja, o menor valor não negativo côngruo ao arco de: a) 790 b)1571/2​

Answer 1

$\Large\boxed{\begin{array}{l}\tt a )~\sf 790^\circ=2\cdot360^\circ+70^\circ\\\sf \alpha=70^\circ+k\cdot360^\circ,k\in\mathbb{Z}\\\tt b)~\sf\dfrac{157\pi}{2}=\dfrac{156\pi}{2}+\dfrac{\pi}{2}=78\pi+\dfrac{\pi}{2}\\\\\sf\dfrac{157\pi}{2}=39\cdot2\pi+\dfrac{\pi}{2}\\\\\sf\alpha=\dfrac{\pi}{2}+2k\pi,k\in\mathbb{Z}\end{array}}$