Question

Determine a expressão geral dos arcos congruos aos arcos de: A)30° B)60° C)135° D)π rad E)π sobre 4 rad

Answer 1

$a)~\mathsf{\alpha=30°+k.360^{\circ}~k\in\mathbb{Z}}\\b)~\mathsf{\alpha=60^{\circ}+k. 360^{\circ}~k\in\mathbb{Z}}\\c)~\mathsf{\alpha=135^{\circ}+k.360^{\circ}~k\in\mathbb{Z}}\\d)~\mathsf{\alpha=\pi+2k\pi~k\in\mathbb{Z}}\\e)~\mathsf{\alpha=\dfrac{\pi}{4}+2k\pi~k\in\mathbb{Z}}$