Respuesta :

Given:

The figure of a right angle triangle.

To find:

The value which is equal to r÷q.

Solution:

In the given right triangle, the length of the hypotenuse is q units.

For angle x degrees, perpendicular is p units and base is r units.

For angle y degrees, perpendicular is r units and base is p units.

In a right angle triangle,

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

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

So,

[tex]\sin y=\dfrac{r}{q}[/tex]

[tex]\cos x=\dfrac{r}{q}[/tex]

Therefore, the value of r÷q is equal to siny or cosx. So, the correct option is C.

The answer to this problem is cos x since sin y is not in the options

Data;

  • r
  • q
  • p
  • x
  • y

Trigonometric Ratio

To solve this problem, we have to identify that for angle y, r is the opposite and q is the hypothenuse.

[tex]sin y = \frac{r}{q}[/tex]

for angle x, r is the adjacent and q is the hypothenuse

[tex]cos x = \frac{r}{q}[/tex]

The answer to this problem is cos x since sin y is not in the options.

Learn more on trigonometric ratio here;

https://brainly.com/question/11967894

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