Respuesta :

fieryanswererft

Answer:

[tex]\sf sin(x) = \dfrac{5}{8}[/tex]   and  [tex]\sf tan(x) = \dfrac{5}{7}[/tex]

Given sides:

  • hypotenuse: 8
  • opposite: 5
  • adjacent: 7

Sine rule given by:

[tex]\sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]

[tex]\sf sin(x) = \dfrac{5}{8}[/tex]

Cosine rule given by:

[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]

[tex]\sf cos(x) = \dfrac{7}{8}[/tex]

Tan rule given by:

[tex]\sf tan(x) = \dfrac{opposite}{adjacent}[/tex]

[tex]\sf tan(x) = \dfrac{5}{7}[/tex]