Question

Escreva a 1ª determinação positiva de um arco de:
a) 2704° b) -1380° c) 17TT
4

Answer 1

a)

$\mathsf{2704^{\circ}=7\times360^{\circ}+184^{\circ}}\\\boxed{\boxed{\mathsf{\alpha=184^{\circ}+k.360^{\circ}\,com\,k\in\mathbb{Z}}}}$

b)

$\mathsf{-1380^{\circ}=-3\times(360^{\circ})-300^{\circ}}\\\mathsf{360^{\circ}-300^{\circ}=60^{\circ}}\\\boxed{\boxed{\boxed{\mathsf{\alpha=60^{\circ}+k.360^{\circ}\,com\,k\in\mathbb{Z}}}}}$

c)

$\huge\boxed{\boxed{\boxed{\textsf{Ileg\'ivel}}}}$