Respuesta :

We know the rule of sin

[tex]\boxed{\sf sin\theta=\dfrac{Perpendicular}{Hypotenuse}}[/tex]

Now

[tex]\\ \sf\longmapsto sinh°=\dfrac{BC}{AB}[/tex]

[tex]\\ \sf\longmapsto sinh°=\dfrac{y}{z}[/tex]

And

[tex]\\ \sf\longmapsto cosh°=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\\ \sf\longmapsto cosh°=\dfrac{AC}{AB}[/tex]

[tex]\\ \sf\longmapsto cos h°=\dfrac{x}{z}[/tex]

Option D

Answer:

  • D. cos h° = x ÷ z

Step-by-step explanation:

Definitions:

  • sine = opposite leg / hypotenuse
  • cosine = adjacent leg / hypotenuse

Verify the answer choices:

  • A. sin h° = z ÷ x, incorrect, should be sin h° = y ÷ z
  • B.  sin h° = x ÷ z, incorrect, should be  sin h° = y ÷ z
  • C.  cos h° = z ÷ x, incorrect, should be cos h° = x ÷ z
  • D. cos h° = x ÷ z, correct