Question

a) Complete a tabela a seguir, relacionando todos os arcos assinalados às medidas de seus senos e cossenos, lembrando que √ 2 ≅ 0,7 e que √ 3 ≅ 0,87

Answer 1

a)

$\mathsf{sen(0^{\circ})=0~~cos(0^{\circ})=1}\\\mathsf{sen(30^{\circ})=0,5~~cos(30^{\circ})=\dfrac{\sqrt{3}}{2}=0,43}$

$\mathsf{sen(45^{\circ})=cos(45^{\circ})=\dfrac{\sqrt{2}}{2}=0,35}$

$\mathsf{sen(60^{\circ})=cos(30^{\circ})=0,43}\\\mathsf{cos(60^{\circ})=sen(30^{\circ})=0,5}$

$\mathsf{sen(90^{\circ})=1~~cos(90^{\circ})=0}$

$\mathsf{sen(120^{\circ}=sen(60^{\circ}=0,43}$

$\mathsf{cos(120^{\circ})=-cos(60^{\circ})=-0,5}$

$\mathsf{sen(135^{\circ})=sen(45^{\circ})=0,35}$

$\mathsf{cos(135^{\circ})=-cos(45^{\circ})=-0,35}$

$\mathsf{sen(150^{\circ})=sen(30^{\circ})=0,5}$

$\mathsf{cos(150^{\circ})=-cos(30^{\circ})=-0,43}$

$\mathsf{sen(180^{\circ})=0~~cos(180^{\circ})=-1}$